1 Prepare data

setwd('C:/Users/Sophie/Desktop/M_Sc_Ecotoxicology/Research_Project_Course/Data/R_Analysis')
data = read.csv('C:/Users/Sophie/Desktop/M_Sc_Ecotoxicology/Research_Project_Course/Data/R_Analysis/Sensitivity_data_kumulativ_DAUER_CORR.csv') # load data

# load packages ----
require(data.table)
require(ggplot2)
require(dplyr)
require(gridExtra)
require(ggpubr)
require(tidyverse)
library(multcomp)
library(knitr) 
library(rstatix)
library(ggpubr)
library(grid)
library(pBrackets)
library(broom)

data <- setDT(data) # set to data.table

data[ , Date := as.Date(Date, format = "%d/%m/%Y")]

data[ , Day := yday(Date) - 61 ] # extract day after start of emergence
data[ , Percent_Ind := Ind/20] # percent individuals of 20 individuals in total
data[ , Percent_Ind_M := M/20] # male
data[ , Percent_Ind_F := F/20] # female
data$Treatment[data$Treatment == '5%'] <- '05%'
data[ , Rpl := as.character(Rpl)] 
data[ , Bti_application := as.factor(Bti_application)] 
data[ , Treatment := as.factor(Treatment)] 
data[ , Larval_stage := as.factor(Larval_stage)] 
data[ , Date := as.character(Date)] 
data[is.na(data)] <- 0  # convert NA to 0

levels(data$Treatment) # check if levels are in the right order
data <- data %>%
  reorder_levels(Treatment, order = c("Ctrl", "05%", "10%", "25%", "50%")) # reorder

levels(data$Bti_application) # check if levels are in the right order
data <- data %>%
  reorder_levels(Bti_application, order = c("none", "d0", "d05", "d10", "d15")) # reorder

levels(data$Larval_stage) # check if levels are in the right order
data <- data %>%
  reorder_levels(Larval_stage, order = c("L1", "Lx")) # reorder

application <- c("none" = "green", "d0" = "dark blue", "d05" = "blue", "d10" = "light blue", "d15" = "grey" )
treatment <- c("Ctrl" = "green", "05%" = "yellow", "10%" = "orange", "25%" = "red", "50%" = "dark red")

2 Overview

Description of the (relevant) variables in the data set.

Variable Description
Treatment Bti concentration (5, 10, 25, 50% of field rate, Ctrl)
Bti_application/Time Day of application before test start (=d0) (d0, d05, d10, d15)
Larval_stage Larval_stage at test start (L1, Lx (later))
Day Day afer start of emergence
Ind/All Number of individuals emerged
M Number of males emerged in one day per test unit
F Number of females emerged
Emergence_all Duration from start of emergence till last day of emergence (per test unit)
Emergence_M Duration from start of emergence till last day of emergence (per test unit) (only males)
Emergence_F Duration from start of emergence till last day of emergence (per test unit) (only females)
Mean_LD_Ind Mean larval development (Duration from hatching till emergence)
Mean_LD_M Mean larval development (Duration from hatching till emergence) (only males)
Mean_LD_F Mean larval development (Duration from hatching till emergence) (only females)
Percentage_M Percentage of males emerged
  • The investigated endpoints are:
    • Number of individuals emerged (all, M, F)
    • Duration of emergence (all, M, F)
    • Mean duration of larval development (all, M, F)
    • Percentage of emerged males (gender ratio, only M)
  • The independent variables are:
    • Treatment (Bti amount)
    • Bti application (day of application)
    • Larval stage
  • Hypotheses:
    • Bti effect mitigates with increasing application time but is still visible at d15
    • The effect is dependent on the treatment (increasing effect with increasing treatment)
    • Earlier larval stages are more sensitive than later larval stages
    • There are different effects in males and females

3 ANOVAs

3.1 No. of individuals

# Treatment
aov_Treatment <- aov(Percent_Ind ~ Treatment, data = data[Day == 17])
summary(aov_Treatment)
##             Df Sum Sq Mean Sq F value Pr(>F)  
## Treatment    4  1.079 0.26965   3.391 0.0122 *
## Residuals   97  7.714 0.07953                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
  ####### Check model assumptions:
plot(aov_Treatment) 

  #Residuals vs. fitted values: approx. around 0, horizontal line. Die Säulen-Anordnung ist normal für ANOVA
  #Normal QQ values around dashed line, no other patterns.
  #even distribution around approx. horizontal line. Between 2.5 and -2.5.
  #All data points inside cooks distance (lines) (outliers are no influential points).
TukeyHSD(aov_Treatment)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Percent_Ind ~ Treatment, data = data[Day == 17])
## 
## $Treatment
##                 diff        lwr         upr     p adj
## 05%-Ctrl  0.06041667 -0.2973821  0.41821547 0.9899051
## 10%-Ctrl  0.04375000 -0.3140488  0.40154881 0.9970814
## 25%-Ctrl -0.06250000 -0.4202988  0.29529881 0.9885238
## 50%-Ctrl -0.20416667 -0.5619655  0.15363214 0.5098082
## 10%-05%  -0.01666667 -0.2429585  0.20962517 0.9996019
## 25%-05%  -0.12291667 -0.3492085  0.10337517 0.5586298
## 50%-05%  -0.26458333 -0.4908752 -0.03829150 0.0134392
## 25%-10%  -0.10625000 -0.3325418  0.12004183 0.6886624
## 50%-10%  -0.24791667 -0.4742085 -0.02162483 0.0243853
## 50%-25%  -0.14166667 -0.3679585  0.08462517 0.4145362
aov_Treatment_M <- aov(Percent_Ind_M ~ Treatment, data = data[Day == 17])
summary(aov_Treatment_M)
##             Df Sum Sq Mean Sq F value Pr(>F)  
## Treatment    4 0.3359 0.08399   3.095 0.0192 *
## Residuals   97 2.6323 0.02714                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Treatment_M) 

TukeyHSD(aov_Treatment_M)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Percent_Ind_M ~ Treatment, data = data[Day == 17])
## 
## $Treatment
##                   diff         lwr          upr     p adj
## 05%-Ctrl -3.330669e-16 -0.20901009  0.209010087 1.0000000
## 10%-Ctrl  6.875000e-02 -0.14026009  0.277760087 0.8907478
## 25%-Ctrl -6.041667e-02 -0.26942675  0.148593421 0.9289457
## 50%-Ctrl -8.333333e-02 -0.29234342  0.125676754 0.8018009
## 10%-05%   6.875000e-02 -0.06343959  0.200939586 0.5999039
## 25%-05%  -6.041667e-02 -0.19260625  0.071772919 0.7098189
## 50%-05%  -8.333333e-02 -0.21552292  0.048856253 0.4073143
## 25%-10%  -1.291667e-01 -0.26135625  0.003022919 0.0587988
## 50%-10%  -1.520833e-01 -0.28427292 -0.019893747 0.0156888
## 50%-25%  -2.291667e-02 -0.15510625  0.109272919 0.9888473
aov_Treatment_F <- aov(Percent_Ind_F ~ Treatment, data = data[Day == 17])
summary(aov_Treatment_F)
##             Df Sum Sq Mean Sq F value Pr(>F)  
## Treatment    4  0.410 0.10247   2.968 0.0232 *
## Residuals   97  3.349 0.03452                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Treatment_F) 

TukeyHSD(aov_Treatment_F)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Percent_Ind_F ~ Treatment, data = data[Day == 17])
## 
## $Treatment
##                  diff        lwr         upr     p adj
## 05%-Ctrl  0.060416667 -0.1753205  0.29615385 0.9532004
## 10%-Ctrl -0.025000000 -0.2607372  0.21073719 0.9983256
## 25%-Ctrl -0.002083333 -0.2378205  0.23365385 0.9999999
## 50%-Ctrl -0.120833333 -0.3565705  0.11490385 0.6132877
## 10%-05%  -0.085416667 -0.2345100  0.06367662 0.5057670
## 25%-05%  -0.062500000 -0.2115933  0.08659329 0.7709995
## 50%-05%  -0.181250000 -0.3303433 -0.03215671 0.0090650
## 25%-10%   0.022916667 -0.1261766  0.17200995 0.9929428
## 50%-10%  -0.095833333 -0.2449266  0.05325995 0.3871817
## 50%-25%  -0.118750000 -0.2678433  0.03034329 0.1833040
#Time (Bti_application)
aov_Bti_application <- aov(Percent_Ind ~ Bti_application, data = data[Day == 17])
summary(aov_Bti_application)
##                 Df Sum Sq Mean Sq F value   Pr(>F)    
## Bti_application  4  3.025  0.7564   12.72 2.31e-08 ***
## Residuals       97  5.767  0.0595                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Bti_application)

TukeyHSD(aov_Bti_application)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Percent_Ind ~ Bti_application, data = data[Day == 17])
## 
## $Bti_application
##                 diff         lwr         upr     p adj
## d0-none  -0.33333333 -0.64270345 -0.02396322 0.0280758
## d05-none -0.01250000 -0.32187011  0.29687011 0.9999634
## d10-none  0.04583333 -0.26353678  0.35520345 0.9938714
## d15-none  0.13750000 -0.17187011  0.44687011 0.7307206
## d05-d0    0.32083333  0.12517049  0.51649617 0.0001445
## d10-d0    0.37916667  0.18350383  0.57482951 0.0000049
## d15-d0    0.47083333  0.27517049  0.66649617 0.0000000
## d10-d05   0.05833333 -0.13732951  0.25399617 0.9210998
## d15-d05   0.15000000 -0.04566284  0.34566284 0.2155056
## d15-d10   0.09166667 -0.10399617  0.28732951 0.6904293
aov_Bti_application_M <- aov(Percent_Ind_M ~ Bti_application, data = data[Day == 17])
summary(aov_Bti_application_M)
##                 Df Sum Sq Mean Sq F value   Pr(>F)    
## Bti_application  4 0.7997 0.19992   8.943 3.44e-06 ***
## Residuals       97 2.1685 0.02236                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Bti_application_M)

TukeyHSD(aov_Bti_application_M)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Percent_Ind_M ~ Bti_application, data = data[Day == 17])
## 
## $Bti_application
##                  diff         lwr        upr     p adj
## d0-none  -0.168750000 -0.35845734 0.02095734 0.1054533
## d05-none -0.004166667 -0.19387400 0.18554067 0.9999968
## d10-none  0.022916667 -0.16679067 0.21262400 0.9972160
## d15-none  0.075000000 -0.11470734 0.26470734 0.8066676
## d05-d0    0.164583333  0.04460188 0.28456479 0.0022008
## d10-d0    0.191666667  0.07168521 0.31164812 0.0002270
## d15-d0    0.243750000  0.12376855 0.36373145 0.0000016
## d10-d05   0.027083333 -0.09289812 0.14706479 0.9702996
## d15-d05   0.079166667 -0.04081479 0.19914812 0.3601917
## d15-d10   0.052083333 -0.06789812 0.17206479 0.7475236
aov_Bti_application_F <- aov(Percent_Ind_F ~ Bti_application, data = data[Day == 17])
summary(aov_Bti_application_F)
##                 Df Sum Sq Mean Sq F value   Pr(>F)    
## Bti_application  4 0.7149 0.17872   5.696 0.000368 ***
## Residuals       97 3.0435 0.03138                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Bti_application_F)

#Larval_stage
aov_Larval_stage <- aov(Percent_Ind ~ Larval_stage, data = data[Day == 17])
summary(aov_Larval_stage)
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Larval_stage   1  0.365  0.3648   4.329   0.04 *
## Residuals    100  8.428  0.0843                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage)

TukeyHSD(aov_Larval_stage)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Percent_Ind ~ Larval_stage, data = data[Day == 17])
## 
## $Larval_stage
##            diff         lwr       upr     p adj
## Lx-L1 0.1196078 0.005551081 0.2336646 0.0400331
aov_Larval_stage_M <- aov(Percent_Ind_M ~ Larval_stage, data = data[Day == 17])
summary(aov_Larval_stage_M)
##               Df Sum Sq Mean Sq F value Pr(>F)
## Larval_stage   1 0.0192 0.01922   0.652  0.421
## Residuals    100 2.9490 0.02949
plot(aov_Larval_stage_M) 

TukeyHSD(aov_Larval_stage_M)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Percent_Ind_M ~ Larval_stage, data = data[Day == 17])
## 
## $Larval_stage
##             diff       lwr        upr     p adj
## Lx-L1 0.02745098 -0.040018 0.09491996 0.4214586
aov_Larval_stage_F <- aov(Percent_Ind_F ~ Larval_stage, data = data[Day == 17])
summary(aov_Larval_stage_F)
##               Df Sum Sq Mean Sq F value Pr(>F)  
## Larval_stage   1  0.217 0.21657   6.115 0.0151 *
## Residuals    100  3.542 0.03542                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_F)

TukeyHSD(aov_Larval_stage_F)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Percent_Ind_F ~ Larval_stage, data = data[Day == 17])
## 
## $Larval_stage
##             diff        lwr       upr     p adj
## Lx-L1 0.09215686 0.01821656 0.1660972 0.0150942
#Treatment x Bti_application
aov_Treatment_appl <- aov(Percent_Ind ~ Treatment * Bti_application, data = data[Day == 17])
summary(aov_Treatment_appl)
##                           Df Sum Sq Mean Sq F value   Pr(>F)    
## Treatment                  4  1.079  0.2696   5.646 0.000444 ***
## Bti_application            3  3.016  1.0054  21.053 2.73e-10 ***
## Treatment:Bti_application  9  0.639  0.0710   1.486 0.166258    
## Residuals                 85  4.059  0.0478                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Treatment_appl) 

TukeyHSD(aov_Treatment_appl)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Percent_Ind ~ Treatment * Bti_application, data = data[Day == 17])
## 
## $Treatment
##                 diff        lwr         upr     p adj
## 05%-Ctrl  0.06041667 -0.2175907  0.33842407 0.9738320
## 10%-Ctrl  0.04375000 -0.2342574  0.32175740 0.9921807
## 25%-Ctrl -0.06250000 -0.3405074  0.21550740 0.9703936
## 50%-Ctrl -0.20416667 -0.4821741  0.07384074 0.2530406
## 10%-05%  -0.01666667 -0.1924940  0.15916065 0.9989080
## 25%-05%  -0.12291667 -0.2987440  0.05291065 0.3002582
## 50%-05%  -0.26458333 -0.4404107 -0.08875601 0.0006268
## 25%-10%  -0.10625000 -0.2820773  0.06957732 0.4490705
## 50%-10%  -0.24791667 -0.4237440 -0.07208935 0.0015832
## 50%-25%  -0.14166667 -0.3174940  0.03416065 0.1732203
## 
## $Bti_application
##                 diff         lwr         upr     p adj
## d0-none  -0.29270833 -0.57071574 -0.01470093 0.0339609
## d05-none  0.02812500 -0.24988240  0.30613240 0.9985898
## d10-none  0.08645833 -0.19154907  0.36446574 0.9082088
## d15-none  0.17812500 -0.09988240  0.45613240 0.3885417
## d05-d0    0.32083333  0.14500601  0.49666065 0.0000210
## d10-d0    0.37916667  0.20333935  0.55499399 0.0000004
## d15-d0    0.47083333  0.29500601  0.64666065 0.0000000
## d10-d05   0.05833333 -0.11749399  0.23416065 0.8865889
## d15-d05   0.15000000 -0.02582732  0.32582732 0.1314844
## d15-d10   0.09166667 -0.08416065  0.26749399 0.5954487
## 
## $`Treatment:Bti_application`
##                             diff         lwr         upr     p adj
## 05%:none-Ctrl:none            NA          NA          NA        NA
## 10%:none-Ctrl:none            NA          NA          NA        NA
## 25%:none-Ctrl:none            NA          NA          NA        NA
## 50%:none-Ctrl:none            NA          NA          NA        NA
## Ctrl:d0-Ctrl:none             NA          NA          NA        NA
## 05%:d0-Ctrl:none   -7.500000e-02 -0.55215139  0.40215139 1.0000000
## 10%:d0-Ctrl:none   -2.500000e-01 -0.72715139  0.22715139 0.9498490
## 25%:d0-Ctrl:none   -3.916667e-01 -0.86881806  0.08548472 0.2719771
## 50%:d0-Ctrl:none   -6.166667e-01 -1.09381806 -0.13951528 0.0011799
## Ctrl:d05-Ctrl:none            NA          NA          NA        NA
## 05%:d05-Ctrl:none   5.000000e-02 -0.42715139  0.52715139 1.0000000
## 10%:d05-Ctrl:none   1.000000e-01 -0.37715139  0.57715139 1.0000000
## 25%:d05-Ctrl:none   5.000000e-02 -0.42715139  0.52715139 1.0000000
## 50%:d05-Ctrl:none  -2.500000e-01 -0.72715139  0.22715139 0.9498490
## Ctrl:d10-Ctrl:none            NA          NA          NA        NA
## 05%:d10-Ctrl:none   1.166667e-01 -0.36048472  0.59381806 0.9999996
## 10%:d10-Ctrl:none   1.166667e-01 -0.36048472  0.59381806 0.9999996
## 25%:d10-Ctrl:none   5.833333e-02 -0.41881806  0.53548472 1.0000000
## 50%:d10-Ctrl:none  -1.083333e-01 -0.58548472  0.36881806 0.9999999
## Ctrl:d15-Ctrl:none            NA          NA          NA        NA
## 05%:d15-Ctrl:none   1.500000e-01 -0.32715139  0.62715139 0.9999601
## 10%:d15-Ctrl:none   2.083333e-01 -0.26881806  0.68548472 0.9938235
## 25%:d15-Ctrl:none   3.333333e-02 -0.44381806  0.51048472 1.0000000
## 50%:d15-Ctrl:none   1.583333e-01 -0.31881806  0.63548472 0.9998993
## 10%:none-05%:none             NA          NA          NA        NA
## 25%:none-05%:none             NA          NA          NA        NA
## 50%:none-05%:none             NA          NA          NA        NA
## Ctrl:d0-05%:none              NA          NA          NA        NA
## 05%:d0-05%:none               NA          NA          NA        NA
## 10%:d0-05%:none               NA          NA          NA        NA
## 25%:d0-05%:none               NA          NA          NA        NA
## 50%:d0-05%:none               NA          NA          NA        NA
## Ctrl:d05-05%:none             NA          NA          NA        NA
## 05%:d05-05%:none              NA          NA          NA        NA
## 10%:d05-05%:none              NA          NA          NA        NA
## 25%:d05-05%:none              NA          NA          NA        NA
## 50%:d05-05%:none              NA          NA          NA        NA
## Ctrl:d10-05%:none             NA          NA          NA        NA
## 05%:d10-05%:none              NA          NA          NA        NA
## 10%:d10-05%:none              NA          NA          NA        NA
## 25%:d10-05%:none              NA          NA          NA        NA
## 50%:d10-05%:none              NA          NA          NA        NA
## Ctrl:d15-05%:none             NA          NA          NA        NA
## 05%:d15-05%:none              NA          NA          NA        NA
## 10%:d15-05%:none              NA          NA          NA        NA
## 25%:d15-05%:none              NA          NA          NA        NA
## 50%:d15-05%:none              NA          NA          NA        NA
## 25%:none-10%:none             NA          NA          NA        NA
## 50%:none-10%:none             NA          NA          NA        NA
## Ctrl:d0-10%:none              NA          NA          NA        NA
## 05%:d0-10%:none               NA          NA          NA        NA
## 10%:d0-10%:none               NA          NA          NA        NA
## 25%:d0-10%:none               NA          NA          NA        NA
## 50%:d0-10%:none               NA          NA          NA        NA
## Ctrl:d05-10%:none             NA          NA          NA        NA
## 05%:d05-10%:none              NA          NA          NA        NA
## 10%:d05-10%:none              NA          NA          NA        NA
## 25%:d05-10%:none              NA          NA          NA        NA
## 50%:d05-10%:none              NA          NA          NA        NA
## Ctrl:d10-10%:none             NA          NA          NA        NA
## 05%:d10-10%:none              NA          NA          NA        NA
## 10%:d10-10%:none              NA          NA          NA        NA
## 25%:d10-10%:none              NA          NA          NA        NA
## 50%:d10-10%:none              NA          NA          NA        NA
## Ctrl:d15-10%:none             NA          NA          NA        NA
## 05%:d15-10%:none              NA          NA          NA        NA
## 10%:d15-10%:none              NA          NA          NA        NA
## 25%:d15-10%:none              NA          NA          NA        NA
## 50%:d15-10%:none              NA          NA          NA        NA
## 50%:none-25%:none             NA          NA          NA        NA
## Ctrl:d0-25%:none              NA          NA          NA        NA
## 05%:d0-25%:none               NA          NA          NA        NA
## 10%:d0-25%:none               NA          NA          NA        NA
## 25%:d0-25%:none               NA          NA          NA        NA
## 50%:d0-25%:none               NA          NA          NA        NA
## Ctrl:d05-25%:none             NA          NA          NA        NA
## 05%:d05-25%:none              NA          NA          NA        NA
## 10%:d05-25%:none              NA          NA          NA        NA
## 25%:d05-25%:none              NA          NA          NA        NA
## 50%:d05-25%:none              NA          NA          NA        NA
## Ctrl:d10-25%:none             NA          NA          NA        NA
## 05%:d10-25%:none              NA          NA          NA        NA
## 10%:d10-25%:none              NA          NA          NA        NA
## 25%:d10-25%:none              NA          NA          NA        NA
## 50%:d10-25%:none              NA          NA          NA        NA
## Ctrl:d15-25%:none             NA          NA          NA        NA
## 05%:d15-25%:none              NA          NA          NA        NA
## 10%:d15-25%:none              NA          NA          NA        NA
## 25%:d15-25%:none              NA          NA          NA        NA
## 50%:d15-25%:none              NA          NA          NA        NA
## Ctrl:d0-50%:none              NA          NA          NA        NA
## 05%:d0-50%:none               NA          NA          NA        NA
## 10%:d0-50%:none               NA          NA          NA        NA
## 25%:d0-50%:none               NA          NA          NA        NA
## 50%:d0-50%:none               NA          NA          NA        NA
## Ctrl:d05-50%:none             NA          NA          NA        NA
## 05%:d05-50%:none              NA          NA          NA        NA
## 10%:d05-50%:none              NA          NA          NA        NA
## 25%:d05-50%:none              NA          NA          NA        NA
## 50%:d05-50%:none              NA          NA          NA        NA
## Ctrl:d10-50%:none             NA          NA          NA        NA
## 05%:d10-50%:none              NA          NA          NA        NA
## 10%:d10-50%:none              NA          NA          NA        NA
## 25%:d10-50%:none              NA          NA          NA        NA
## 50%:d10-50%:none              NA          NA          NA        NA
## Ctrl:d15-50%:none             NA          NA          NA        NA
## 05%:d15-50%:none              NA          NA          NA        NA
## 10%:d15-50%:none              NA          NA          NA        NA
## 25%:d15-50%:none              NA          NA          NA        NA
## 50%:d15-50%:none              NA          NA          NA        NA
## 05%:d0-Ctrl:d0                NA          NA          NA        NA
## 10%:d0-Ctrl:d0                NA          NA          NA        NA
## 25%:d0-Ctrl:d0                NA          NA          NA        NA
## 50%:d0-Ctrl:d0                NA          NA          NA        NA
## Ctrl:d05-Ctrl:d0              NA          NA          NA        NA
## 05%:d05-Ctrl:d0               NA          NA          NA        NA
## 10%:d05-Ctrl:d0               NA          NA          NA        NA
## 25%:d05-Ctrl:d0               NA          NA          NA        NA
## 50%:d05-Ctrl:d0               NA          NA          NA        NA
## Ctrl:d10-Ctrl:d0              NA          NA          NA        NA
## 05%:d10-Ctrl:d0               NA          NA          NA        NA
## 10%:d10-Ctrl:d0               NA          NA          NA        NA
## 25%:d10-Ctrl:d0               NA          NA          NA        NA
## 50%:d10-Ctrl:d0               NA          NA          NA        NA
## Ctrl:d15-Ctrl:d0              NA          NA          NA        NA
## 05%:d15-Ctrl:d0               NA          NA          NA        NA
## 10%:d15-Ctrl:d0               NA          NA          NA        NA
## 25%:d15-Ctrl:d0               NA          NA          NA        NA
## 50%:d15-Ctrl:d0               NA          NA          NA        NA
## 10%:d0-05%:d0      -1.750000e-01 -0.65215139  0.30215139 0.9994906
## 25%:d0-05%:d0      -3.166667e-01 -0.79381806  0.16048472 0.6841497
## 50%:d0-05%:d0      -5.416667e-01 -1.01881806 -0.06451528 0.0099670
## Ctrl:d05-05%:d0               NA          NA          NA        NA
## 05%:d05-05%:d0      1.250000e-01 -0.35215139  0.60215139 0.9999986
## 10%:d05-05%:d0      1.750000e-01 -0.30215139  0.65215139 0.9994906
## 25%:d05-05%:d0      1.250000e-01 -0.35215139  0.60215139 0.9999986
## 50%:d05-05%:d0     -1.750000e-01 -0.65215139  0.30215139 0.9994906
## Ctrl:d10-05%:d0               NA          NA          NA        NA
## 05%:d10-05%:d0      1.916667e-01 -0.28548472  0.66881806 0.9980202
## 10%:d10-05%:d0      1.916667e-01 -0.28548472  0.66881806 0.9980202
## 25%:d10-05%:d0      1.333333e-01 -0.34381806  0.61048472 0.9999952
## 50%:d10-05%:d0     -3.333333e-02 -0.51048472  0.44381806 1.0000000
## Ctrl:d15-05%:d0               NA          NA          NA        NA
## 05%:d15-05%:d0      2.250000e-01 -0.25215139  0.70215139 0.9839892
## 10%:d15-05%:d0      2.833333e-01 -0.19381806  0.76048472 0.8493102
## 25%:d15-05%:d0      1.083333e-01 -0.36881806  0.58548472 0.9999999
## 50%:d15-05%:d0      2.333333e-01 -0.24381806  0.71048472 0.9757343
## 25%:d0-10%:d0      -1.416667e-01 -0.61881806  0.33548472 0.9999855
## 50%:d0-10%:d0      -3.666667e-01 -0.84381806  0.11048472 0.3950190
## Ctrl:d05-10%:d0               NA          NA          NA        NA
## 05%:d05-10%:d0      3.000000e-01 -0.17715139  0.77715139 0.7733842
## 10%:d05-10%:d0      3.500000e-01 -0.12715139  0.82715139 0.4888617
## 25%:d05-10%:d0      3.000000e-01 -0.17715139  0.77715139 0.7733842
## 50%:d05-10%:d0      0.000000e+00 -0.47715139  0.47715139 1.0000000
## Ctrl:d10-10%:d0               NA          NA          NA        NA
## 05%:d10-10%:d0      3.666667e-01 -0.11048472  0.84381806 0.3950190
## 10%:d10-10%:d0      3.666667e-01 -0.11048472  0.84381806 0.3950190
## 25%:d10-10%:d0      3.083333e-01 -0.16881806  0.78548472 0.7301154
## 50%:d10-10%:d0      1.416667e-01 -0.33548472  0.61881806 0.9999855
## Ctrl:d15-10%:d0               NA          NA          NA        NA
## 05%:d15-10%:d0      4.000000e-01 -0.07715139  0.87715139 0.2369328
## 10%:d15-10%:d0      4.583333e-01 -0.01881806  0.93548472 0.0762205
## 25%:d15-10%:d0      2.833333e-01 -0.19381806  0.76048472 0.8493102
## 50%:d15-10%:d0      4.083333e-01 -0.06881806  0.88548472 0.2050803
## 50%:d0-25%:d0      -2.250000e-01 -0.70215139  0.25215139 0.9839892
## Ctrl:d05-25%:d0               NA          NA          NA        NA
## 05%:d05-25%:d0      4.416667e-01 -0.03548472  0.91881806 0.1083883
## 10%:d05-25%:d0      4.916667e-01  0.01451528  0.96881806 0.0355391
## 25%:d05-25%:d0      4.416667e-01 -0.03548472  0.91881806 0.1083883
## 50%:d05-25%:d0      1.416667e-01 -0.33548472  0.61881806 0.9999855
## Ctrl:d10-25%:d0               NA          NA          NA        NA
## 05%:d10-25%:d0      5.083333e-01  0.03118194  0.98548472 0.0236301
## 10%:d10-25%:d0      5.083333e-01  0.03118194  0.98548472 0.0236301
## 25%:d10-25%:d0      4.500000e-01 -0.02715139  0.92715139 0.0911294
## 50%:d10-25%:d0      2.833333e-01 -0.19381806  0.76048472 0.8493102
## Ctrl:d15-25%:d0               NA          NA          NA        NA
## 05%:d15-25%:d0      5.416667e-01  0.06451528  1.01881806 0.0099670
## 10%:d15-25%:d0      6.000000e-01  0.12284861  1.07715139 0.0019341
## 25%:d15-25%:d0      4.250000e-01 -0.05215139  0.90215139 0.1508345
## 50%:d15-25%:d0      5.500000e-01  0.07284861  1.02715139 0.0079605
## Ctrl:d05-50%:d0               NA          NA          NA        NA
## 05%:d05-50%:d0      6.666667e-01  0.18951528  1.14381806 0.0002529
## 10%:d05-50%:d0      7.166667e-01  0.23951528  1.19381806 0.0000504
## 25%:d05-50%:d0      6.666667e-01  0.18951528  1.14381806 0.0002529
## 50%:d05-50%:d0      3.666667e-01 -0.11048472  0.84381806 0.3950190
## Ctrl:d10-50%:d0               NA          NA          NA        NA
## 05%:d10-50%:d0      7.333333e-01  0.25618194  1.21048472 0.0000290
## 10%:d10-50%:d0      7.333333e-01  0.25618194  1.21048472 0.0000290
## 25%:d10-50%:d0      6.750000e-01  0.19784861  1.15215139 0.0001942
## 50%:d10-50%:d0      5.083333e-01  0.03118194  0.98548472 0.0236301
## Ctrl:d15-50%:d0               NA          NA          NA        NA
## 05%:d15-50%:d0      7.666667e-01  0.28951528  1.24381806 0.0000095
## 10%:d15-50%:d0      8.250000e-01  0.34784861  1.30215139 0.0000013
## 25%:d15-50%:d0      6.500000e-01  0.17284861  1.12715139 0.0004264
## 50%:d15-50%:d0      7.750000e-01  0.29784861  1.25215139 0.0000071
## 05%:d05-Ctrl:d05              NA          NA          NA        NA
## 10%:d05-Ctrl:d05              NA          NA          NA        NA
## 25%:d05-Ctrl:d05              NA          NA          NA        NA
## 50%:d05-Ctrl:d05              NA          NA          NA        NA
## Ctrl:d10-Ctrl:d05             NA          NA          NA        NA
## 05%:d10-Ctrl:d05              NA          NA          NA        NA
## 10%:d10-Ctrl:d05              NA          NA          NA        NA
## 25%:d10-Ctrl:d05              NA          NA          NA        NA
## 50%:d10-Ctrl:d05              NA          NA          NA        NA
## Ctrl:d15-Ctrl:d05             NA          NA          NA        NA
## 05%:d15-Ctrl:d05              NA          NA          NA        NA
## 10%:d15-Ctrl:d05              NA          NA          NA        NA
## 25%:d15-Ctrl:d05              NA          NA          NA        NA
## 50%:d15-Ctrl:d05              NA          NA          NA        NA
## 10%:d05-05%:d05     5.000000e-02 -0.42715139  0.52715139 1.0000000
## 25%:d05-05%:d05     3.330669e-16 -0.47715139  0.47715139 1.0000000
## 50%:d05-05%:d05    -3.000000e-01 -0.77715139  0.17715139 0.7733842
## Ctrl:d10-05%:d05              NA          NA          NA        NA
## 05%:d10-05%:d05     6.666667e-02 -0.41048472  0.54381806 1.0000000
## 10%:d10-05%:d05     6.666667e-02 -0.41048472  0.54381806 1.0000000
## 25%:d10-05%:d05     8.333333e-03 -0.46881806  0.48548472 1.0000000
## 50%:d10-05%:d05    -1.583333e-01 -0.63548472  0.31881806 0.9998993
## Ctrl:d15-05%:d05              NA          NA          NA        NA
## 05%:d15-05%:d05     1.000000e-01 -0.37715139  0.57715139 1.0000000
## 10%:d15-05%:d05     1.583333e-01 -0.31881806  0.63548472 0.9998993
## 25%:d15-05%:d05    -1.666667e-02 -0.49381806  0.46048472 1.0000000
## 50%:d15-05%:d05     1.083333e-01 -0.36881806  0.58548472 0.9999999
## 25%:d05-10%:d05    -5.000000e-02 -0.52715139  0.42715139 1.0000000
## 50%:d05-10%:d05    -3.500000e-01 -0.82715139  0.12715139 0.4888617
## Ctrl:d10-10%:d05              NA          NA          NA        NA
## 05%:d10-10%:d05     1.666667e-02 -0.46048472  0.49381806 1.0000000
## 10%:d10-10%:d05     1.666667e-02 -0.46048472  0.49381806 1.0000000
## 25%:d10-10%:d05    -4.166667e-02 -0.51881806  0.43548472 1.0000000
## 50%:d10-10%:d05    -2.083333e-01 -0.68548472  0.26881806 0.9938235
## Ctrl:d15-10%:d05              NA          NA          NA        NA
## 05%:d15-10%:d05     5.000000e-02 -0.42715139  0.52715139 1.0000000
## 10%:d15-10%:d05     1.083333e-01 -0.36881806  0.58548472 0.9999999
## 25%:d15-10%:d05    -6.666667e-02 -0.54381806  0.41048472 1.0000000
## 50%:d15-10%:d05     5.833333e-02 -0.41881806  0.53548472 1.0000000
## 50%:d05-25%:d05    -3.000000e-01 -0.77715139  0.17715139 0.7733842
## Ctrl:d10-25%:d05              NA          NA          NA        NA
## 05%:d10-25%:d05     6.666667e-02 -0.41048472  0.54381806 1.0000000
## 10%:d10-25%:d05     6.666667e-02 -0.41048472  0.54381806 1.0000000
## 25%:d10-25%:d05     8.333333e-03 -0.46881806  0.48548472 1.0000000
## 50%:d10-25%:d05    -1.583333e-01 -0.63548472  0.31881806 0.9998993
## Ctrl:d15-25%:d05              NA          NA          NA        NA
## 05%:d15-25%:d05     1.000000e-01 -0.37715139  0.57715139 1.0000000
## 10%:d15-25%:d05     1.583333e-01 -0.31881806  0.63548472 0.9998993
## 25%:d15-25%:d05    -1.666667e-02 -0.49381806  0.46048472 1.0000000
## 50%:d15-25%:d05     1.083333e-01 -0.36881806  0.58548472 0.9999999
## Ctrl:d10-50%:d05              NA          NA          NA        NA
## 05%:d10-50%:d05     3.666667e-01 -0.11048472  0.84381806 0.3950190
## 10%:d10-50%:d05     3.666667e-01 -0.11048472  0.84381806 0.3950190
## 25%:d10-50%:d05     3.083333e-01 -0.16881806  0.78548472 0.7301154
## 50%:d10-50%:d05     1.416667e-01 -0.33548472  0.61881806 0.9999855
## Ctrl:d15-50%:d05              NA          NA          NA        NA
## 05%:d15-50%:d05     4.000000e-01 -0.07715139  0.87715139 0.2369328
## 10%:d15-50%:d05     4.583333e-01 -0.01881806  0.93548472 0.0762205
## 25%:d15-50%:d05     2.833333e-01 -0.19381806  0.76048472 0.8493102
## 50%:d15-50%:d05     4.083333e-01 -0.06881806  0.88548472 0.2050803
## 05%:d10-Ctrl:d10              NA          NA          NA        NA
## 10%:d10-Ctrl:d10              NA          NA          NA        NA
## 25%:d10-Ctrl:d10              NA          NA          NA        NA
## 50%:d10-Ctrl:d10              NA          NA          NA        NA
## Ctrl:d15-Ctrl:d10             NA          NA          NA        NA
## 05%:d15-Ctrl:d10              NA          NA          NA        NA
## 10%:d15-Ctrl:d10              NA          NA          NA        NA
## 25%:d15-Ctrl:d10              NA          NA          NA        NA
## 50%:d15-Ctrl:d10              NA          NA          NA        NA
## 10%:d10-05%:d10     4.440892e-16 -0.47715139  0.47715139 1.0000000
## 25%:d10-05%:d10    -5.833333e-02 -0.53548472  0.41881806 1.0000000
## 50%:d10-05%:d10    -2.250000e-01 -0.70215139  0.25215139 0.9839892
## Ctrl:d15-05%:d10              NA          NA          NA        NA
## 05%:d15-05%:d10     3.333333e-02 -0.44381806  0.51048472 1.0000000
## 10%:d15-05%:d10     9.166667e-02 -0.38548472  0.56881806 1.0000000
## 25%:d15-05%:d10    -8.333333e-02 -0.56048472  0.39381806 1.0000000
## 50%:d15-05%:d10     4.166667e-02 -0.43548472  0.51881806 1.0000000
## 25%:d10-10%:d10    -5.833333e-02 -0.53548472  0.41881806 1.0000000
## 50%:d10-10%:d10    -2.250000e-01 -0.70215139  0.25215139 0.9839892
## Ctrl:d15-10%:d10              NA          NA          NA        NA
## 05%:d15-10%:d10     3.333333e-02 -0.44381806  0.51048472 1.0000000
## 10%:d15-10%:d10     9.166667e-02 -0.38548472  0.56881806 1.0000000
## 25%:d15-10%:d10    -8.333333e-02 -0.56048472  0.39381806 1.0000000
## 50%:d15-10%:d10     4.166667e-02 -0.43548472  0.51881806 1.0000000
## 50%:d10-25%:d10    -1.666667e-01 -0.64381806  0.31048472 0.9997652
## Ctrl:d15-25%:d10              NA          NA          NA        NA
## 05%:d15-25%:d10     9.166667e-02 -0.38548472  0.56881806 1.0000000
## 10%:d15-25%:d10     1.500000e-01 -0.32715139  0.62715139 0.9999601
## 25%:d15-25%:d10    -2.500000e-02 -0.50215139  0.45215139 1.0000000
## 50%:d15-25%:d10     1.000000e-01 -0.37715139  0.57715139 1.0000000
## Ctrl:d15-50%:d10              NA          NA          NA        NA
## 05%:d15-50%:d10     2.583333e-01 -0.21881806  0.73548472 0.9312435
## 10%:d15-50%:d10     3.166667e-01 -0.16048472  0.79381806 0.6841497
## 25%:d15-50%:d10     1.416667e-01 -0.33548472  0.61881806 0.9999855
## 50%:d15-50%:d10     2.666667e-01 -0.21048472  0.74381806 0.9083766
## 05%:d15-Ctrl:d15              NA          NA          NA        NA
## 10%:d15-Ctrl:d15              NA          NA          NA        NA
## 25%:d15-Ctrl:d15              NA          NA          NA        NA
## 50%:d15-Ctrl:d15              NA          NA          NA        NA
## 10%:d15-05%:d15     5.833333e-02 -0.41881806  0.53548472 1.0000000
## 25%:d15-05%:d15    -1.166667e-01 -0.59381806  0.36048472 0.9999996
## 50%:d15-05%:d15     8.333333e-03 -0.46881806  0.48548472 1.0000000
## 25%:d15-10%:d15    -1.750000e-01 -0.65215139  0.30215139 0.9994906
## 50%:d15-10%:d15    -5.000000e-02 -0.52715139  0.42715139 1.0000000
## 50%:d15-25%:d15     1.250000e-01 -0.35215139  0.60215139 0.9999986
aov_Treatment_appl_M <- aov(M ~ Treatment * Bti_application, data = data[Day == 17])
summary(aov_Treatment_appl_M)
##                           Df Sum Sq Mean Sq F value   Pr(>F)    
## Treatment                  4  134.4   33.59   4.992  0.00116 ** 
## Bti_application            3  319.1  106.36  15.805 2.98e-08 ***
## Treatment:Bti_application  9  161.8   17.98   2.672  0.00881 ** 
## Residuals                 85  572.0    6.73                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Treatment_appl_M)

shapiro_test(residuals(aov_Treatment_appl_M)) 
## # A tibble: 1 x 3
##   variable                        statistic p.value
##   <chr>                               <dbl>   <dbl>
## 1 residuals(aov_Treatment_appl_M)     0.989   0.571
TukeyHSD(aov_Treatment_appl_M)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = M ~ Treatment * Bti_application, data = data[Day == 17])
## 
## $Treatment
##                   diff       lwr        upr     p adj
## 05%-Ctrl -7.105427e-15 -3.300167  3.3001671 1.0000000
## 10%-Ctrl  1.375000e+00 -1.925167  4.6751671 0.7731883
## 25%-Ctrl -1.208333e+00 -4.508500  2.0918338 0.8452439
## 50%-Ctrl -1.666667e+00 -4.966834  1.6335005 0.6245210
## 10%-05%   1.375000e+00 -0.712209  3.4622090 0.3599719
## 25%-05%  -1.208333e+00 -3.295542  0.8788756 0.4929948
## 50%-05%  -1.666667e+00 -3.753876  0.4205423 0.1803334
## 25%-10%  -2.583333e+00 -4.670542 -0.4961244 0.0076137
## 50%-10%  -3.041667e+00 -5.128876 -0.9544577 0.0010024
## 50%-25%  -4.583333e-01 -2.545542  1.6288756 0.9728200
## 
## $Bti_application
##                diff        lwr       upr     p adj
## d0-none  -3.0000000 -6.3001671 0.3001671 0.0927747
## d05-none  0.2916667 -3.0085005 3.5918338 0.9991711
## d10-none  0.8333333 -2.4668338 4.1335005 0.9550964
## d15-none  1.8750000 -1.4251671 5.1751671 0.5119644
## d05-d0    3.2916667  1.2044577 5.3788756 0.0003011
## d10-d0    3.8333333  1.7461244 5.9205423 0.0000184
## d15-d0    4.8750000  2.7877910 6.9622090 0.0000000
## d10-d05   0.5416667 -1.5455423 2.6288756 0.9505498
## d15-d05   1.5833333 -0.5038756 3.6705423 0.2236150
## d15-d10   1.0416667 -1.0455423 3.1288756 0.6350673
## 
## $`Treatment:Bti_application`
##                             diff         lwr        upr     p adj
## 05%:none-Ctrl:none            NA          NA         NA        NA
## 10%:none-Ctrl:none            NA          NA         NA        NA
## 25%:none-Ctrl:none            NA          NA         NA        NA
## 50%:none-Ctrl:none            NA          NA         NA        NA
## Ctrl:d0-Ctrl:none             NA          NA         NA        NA
## 05%:d0-Ctrl:none   -5.000000e-01  -6.1641633  5.1641633 1.0000000
## 10%:d0-Ctrl:none   -1.833333e+00  -7.4974966  3.8308300 0.9999340
## 25%:d0-Ctrl:none   -4.666667e+00 -10.3308300  0.9974966 0.2656295
## 50%:d0-Ctrl:none   -6.500000e+00 -12.1641633 -0.8358367 0.0085045
## Ctrl:d05-Ctrl:none            NA          NA         NA        NA
## 05%:d05-Ctrl:none  -1.333333e+00  -6.9974966  4.3308300 0.9999998
## 10%:d05-Ctrl:none   2.833333e+00  -2.8308300  8.4974966 0.9689165
## 25%:d05-Ctrl:none   0.000000e+00  -5.6641633  5.6641633 1.0000000
## 50%:d05-Ctrl:none  -1.833333e+00  -7.4974966  3.8308300 0.9999340
## Ctrl:d10-Ctrl:none            NA          NA         NA        NA
## 05%:d10-Ctrl:none  -3.333333e-01  -5.9974966  5.3308300 1.0000000
## 10%:d10-Ctrl:none   1.333333e+00  -4.3308300  6.9974966 0.9999998
## 25%:d10-Ctrl:none   1.166667e+00  -4.4974966  6.8308300 1.0000000
## 50%:d10-Ctrl:none  -3.333333e-01  -5.9974966  5.3308300 1.0000000
## Ctrl:d15-Ctrl:none            NA          NA         NA        NA
## 05%:d15-Ctrl:none   2.166667e+00  -3.4974966  7.8308300 0.9990317
## 10%:d15-Ctrl:none   3.166667e+00  -2.4974966  8.8308300 0.9080917
## 25%:d15-Ctrl:none  -1.333333e+00  -6.9974966  4.3308300 0.9999998
## 50%:d15-Ctrl:none   2.000000e+00  -3.6641633  7.6641633 0.9997204
## 10%:none-05%:none             NA          NA         NA        NA
## 25%:none-05%:none             NA          NA         NA        NA
## 50%:none-05%:none             NA          NA         NA        NA
## Ctrl:d0-05%:none              NA          NA         NA        NA
## 05%:d0-05%:none               NA          NA         NA        NA
## 10%:d0-05%:none               NA          NA         NA        NA
## 25%:d0-05%:none               NA          NA         NA        NA
## 50%:d0-05%:none               NA          NA         NA        NA
## Ctrl:d05-05%:none             NA          NA         NA        NA
## 05%:d05-05%:none              NA          NA         NA        NA
## 10%:d05-05%:none              NA          NA         NA        NA
## 25%:d05-05%:none              NA          NA         NA        NA
## 50%:d05-05%:none              NA          NA         NA        NA
## Ctrl:d10-05%:none             NA          NA         NA        NA
## 05%:d10-05%:none              NA          NA         NA        NA
## 10%:d10-05%:none              NA          NA         NA        NA
## 25%:d10-05%:none              NA          NA         NA        NA
## 50%:d10-05%:none              NA          NA         NA        NA
## Ctrl:d15-05%:none             NA          NA         NA        NA
## 05%:d15-05%:none              NA          NA         NA        NA
## 10%:d15-05%:none              NA          NA         NA        NA
## 25%:d15-05%:none              NA          NA         NA        NA
## 50%:d15-05%:none              NA          NA         NA        NA
## 25%:none-10%:none             NA          NA         NA        NA
## 50%:none-10%:none             NA          NA         NA        NA
## Ctrl:d0-10%:none              NA          NA         NA        NA
## 05%:d0-10%:none               NA          NA         NA        NA
## 10%:d0-10%:none               NA          NA         NA        NA
## 25%:d0-10%:none               NA          NA         NA        NA
## 50%:d0-10%:none               NA          NA         NA        NA
## Ctrl:d05-10%:none             NA          NA         NA        NA
## 05%:d05-10%:none              NA          NA         NA        NA
## 10%:d05-10%:none              NA          NA         NA        NA
## 25%:d05-10%:none              NA          NA         NA        NA
## 50%:d05-10%:none              NA          NA         NA        NA
## Ctrl:d10-10%:none             NA          NA         NA        NA
## 05%:d10-10%:none              NA          NA         NA        NA
## 10%:d10-10%:none              NA          NA         NA        NA
## 25%:d10-10%:none              NA          NA         NA        NA
## 50%:d10-10%:none              NA          NA         NA        NA
## Ctrl:d15-10%:none             NA          NA         NA        NA
## 05%:d15-10%:none              NA          NA         NA        NA
## 10%:d15-10%:none              NA          NA         NA        NA
## 25%:d15-10%:none              NA          NA         NA        NA
## 50%:d15-10%:none              NA          NA         NA        NA
## 50%:none-25%:none             NA          NA         NA        NA
## Ctrl:d0-25%:none              NA          NA         NA        NA
## 05%:d0-25%:none               NA          NA         NA        NA
## 10%:d0-25%:none               NA          NA         NA        NA
## 25%:d0-25%:none               NA          NA         NA        NA
## 50%:d0-25%:none               NA          NA         NA        NA
## Ctrl:d05-25%:none             NA          NA         NA        NA
## 05%:d05-25%:none              NA          NA         NA        NA
## 10%:d05-25%:none              NA          NA         NA        NA
## 25%:d05-25%:none              NA          NA         NA        NA
## 50%:d05-25%:none              NA          NA         NA        NA
## Ctrl:d10-25%:none             NA          NA         NA        NA
## 05%:d10-25%:none              NA          NA         NA        NA
## 10%:d10-25%:none              NA          NA         NA        NA
## 25%:d10-25%:none              NA          NA         NA        NA
## 50%:d10-25%:none              NA          NA         NA        NA
## Ctrl:d15-25%:none             NA          NA         NA        NA
## 05%:d15-25%:none              NA          NA         NA        NA
## 10%:d15-25%:none              NA          NA         NA        NA
## 25%:d15-25%:none              NA          NA         NA        NA
## 50%:d15-25%:none              NA          NA         NA        NA
## Ctrl:d0-50%:none              NA          NA         NA        NA
## 05%:d0-50%:none               NA          NA         NA        NA
## 10%:d0-50%:none               NA          NA         NA        NA
## 25%:d0-50%:none               NA          NA         NA        NA
## 50%:d0-50%:none               NA          NA         NA        NA
## Ctrl:d05-50%:none             NA          NA         NA        NA
## 05%:d05-50%:none              NA          NA         NA        NA
## 10%:d05-50%:none              NA          NA         NA        NA
## 25%:d05-50%:none              NA          NA         NA        NA
## 50%:d05-50%:none              NA          NA         NA        NA
## Ctrl:d10-50%:none             NA          NA         NA        NA
## 05%:d10-50%:none              NA          NA         NA        NA
## 10%:d10-50%:none              NA          NA         NA        NA
## 25%:d10-50%:none              NA          NA         NA        NA
## 50%:d10-50%:none              NA          NA         NA        NA
## Ctrl:d15-50%:none             NA          NA         NA        NA
## 05%:d15-50%:none              NA          NA         NA        NA
## 10%:d15-50%:none              NA          NA         NA        NA
## 25%:d15-50%:none              NA          NA         NA        NA
## 50%:d15-50%:none              NA          NA         NA        NA
## 05%:d0-Ctrl:d0                NA          NA         NA        NA
## 10%:d0-Ctrl:d0                NA          NA         NA        NA
## 25%:d0-Ctrl:d0                NA          NA         NA        NA
## 50%:d0-Ctrl:d0                NA          NA         NA        NA
## Ctrl:d05-Ctrl:d0              NA          NA         NA        NA
## 05%:d05-Ctrl:d0               NA          NA         NA        NA
## 10%:d05-Ctrl:d0               NA          NA         NA        NA
## 25%:d05-Ctrl:d0               NA          NA         NA        NA
## 50%:d05-Ctrl:d0               NA          NA         NA        NA
## Ctrl:d10-Ctrl:d0              NA          NA         NA        NA
## 05%:d10-Ctrl:d0               NA          NA         NA        NA
## 10%:d10-Ctrl:d0               NA          NA         NA        NA
## 25%:d10-Ctrl:d0               NA          NA         NA        NA
## 50%:d10-Ctrl:d0               NA          NA         NA        NA
## Ctrl:d15-Ctrl:d0              NA          NA         NA        NA
## 05%:d15-Ctrl:d0               NA          NA         NA        NA
## 10%:d15-Ctrl:d0               NA          NA         NA        NA
## 25%:d15-Ctrl:d0               NA          NA         NA        NA
## 50%:d15-Ctrl:d0               NA          NA         NA        NA
## 10%:d0-05%:d0      -1.333333e+00  -6.9974966  4.3308300 0.9999998
## 25%:d0-05%:d0      -4.166667e+00  -9.8308300  1.4974966 0.4830424
## 50%:d0-05%:d0      -6.000000e+00 -11.6641633 -0.3358367 0.0253935
## Ctrl:d05-05%:d0               NA          NA         NA        NA
## 05%:d05-05%:d0     -8.333333e-01  -6.4974966  4.8308300 1.0000000
## 10%:d05-05%:d0      3.333333e+00  -2.3308300  8.9974966 0.8594219
## 25%:d05-05%:d0      5.000000e-01  -5.1641633  6.1641633 1.0000000
## 50%:d05-05%:d0     -1.333333e+00  -6.9974966  4.3308300 0.9999998
## Ctrl:d10-05%:d0               NA          NA         NA        NA
## 05%:d10-05%:d0      1.666667e-01  -5.4974966  5.8308300 1.0000000
## 10%:d10-05%:d0      1.833333e+00  -3.8308300  7.4974966 0.9999340
## 25%:d10-05%:d0      1.666667e+00  -3.9974966  7.3308300 0.9999877
## 50%:d10-05%:d0      1.666667e-01  -5.4974966  5.8308300 1.0000000
## Ctrl:d15-05%:d0               NA          NA         NA        NA
## 05%:d15-05%:d0      2.666667e+00  -2.9974966  8.3308300 0.9842868
## 10%:d15-05%:d0      3.666667e+00  -1.9974966  9.3308300 0.7271670
## 25%:d15-05%:d0     -8.333333e-01  -6.4974966  4.8308300 1.0000000
## 50%:d15-05%:d0      2.500000e+00  -3.1641633  8.1641633 0.9928967
## 25%:d0-10%:d0      -2.833333e+00  -8.4974966  2.8308300 0.9689165
## 50%:d0-10%:d0      -4.666667e+00 -10.3308300  0.9974966 0.2656295
## Ctrl:d05-10%:d0               NA          NA         NA        NA
## 05%:d05-10%:d0      5.000000e-01  -5.1641633  6.1641633 1.0000000
## 10%:d05-10%:d0      4.666667e+00  -0.9974966 10.3308300 0.2656295
## 25%:d05-10%:d0      1.833333e+00  -3.8308300  7.4974966 0.9999340
## 50%:d05-10%:d0     -8.881784e-16  -5.6641633  5.6641633 1.0000000
## Ctrl:d10-10%:d0               NA          NA         NA        NA
## 05%:d10-10%:d0      1.500000e+00  -4.1641633  7.1641633 0.9999983
## 10%:d10-10%:d0      3.166667e+00  -2.4974966  8.8308300 0.9080917
## 25%:d10-10%:d0      3.000000e+00  -2.6641633  8.6641633 0.9442242
## 50%:d10-10%:d0      1.500000e+00  -4.1641633  7.1641633 0.9999983
## Ctrl:d15-10%:d0               NA          NA         NA        NA
## 05%:d15-10%:d0      4.000000e+00  -1.6641633  9.6641633 0.5656846
## 10%:d15-10%:d0      5.000000e+00  -0.6641633 10.6641633 0.1621134
## 25%:d15-10%:d0      5.000000e-01  -5.1641633  6.1641633 1.0000000
## 50%:d15-10%:d0      3.833333e+00  -1.8308300  9.4974966 0.6483288
## 50%:d0-25%:d0      -1.833333e+00  -7.4974966  3.8308300 0.9999340
## Ctrl:d05-25%:d0               NA          NA         NA        NA
## 05%:d05-25%:d0      3.333333e+00  -2.3308300  8.9974966 0.8594219
## 10%:d05-25%:d0      7.500000e+00   1.8358367 13.1641633 0.0007467
## 25%:d05-25%:d0      4.666667e+00  -0.9974966 10.3308300 0.2656295
## 50%:d05-25%:d0      2.833333e+00  -2.8308300  8.4974966 0.9689165
## Ctrl:d10-25%:d0               NA          NA         NA        NA
## 05%:d10-25%:d0      4.333333e+00  -1.3308300  9.9974966 0.4038329
## 10%:d10-25%:d0      6.000000e+00   0.3358367 11.6641633 0.0253935
## 25%:d10-25%:d0      5.833333e+00   0.1691700 11.4974966 0.0357650
## 50%:d10-25%:d0      4.333333e+00  -1.3308300  9.9974966 0.4038329
## Ctrl:d15-25%:d0               NA          NA         NA        NA
## 05%:d15-25%:d0      6.833333e+00   1.1691700 12.4974966 0.0039054
## 10%:d15-25%:d0      7.833333e+00   2.1691700 13.4974966 0.0003131
## 25%:d15-25%:d0      3.333333e+00  -2.3308300  8.9974966 0.8594219
## 50%:d15-25%:d0      6.666667e+00   1.0025034 12.3308300 0.0057891
## Ctrl:d05-50%:d0               NA          NA         NA        NA
## 05%:d05-50%:d0      5.166667e+00  -0.4974966 10.8308300 0.1234399
## 10%:d05-50%:d0      9.333333e+00   3.6691700 14.9974966 0.0000048
## 25%:d05-50%:d0      6.500000e+00   0.8358367 12.1641633 0.0085045
## 50%:d05-50%:d0      4.666667e+00  -0.9974966 10.3308300 0.2656295
## Ctrl:d10-50%:d0               NA          NA         NA        NA
## 05%:d10-50%:d0      6.166667e+00   0.5025034 11.8308300 0.0178228
## 10%:d10-50%:d0      7.833333e+00   2.1691700 13.4974966 0.0003131
## 25%:d10-50%:d0      7.666667e+00   2.0025034 13.3308300 0.0004850
## 50%:d10-50%:d0      6.166667e+00   0.5025034 11.8308300 0.0178228
## Ctrl:d15-50%:d0               NA          NA         NA        NA
## 05%:d15-50%:d0      8.666667e+00   3.0025034 14.3308300 0.0000323
## 10%:d15-50%:d0      9.666667e+00   4.0025034 15.3308300 0.0000018
## 25%:d15-50%:d0      5.166667e+00  -0.4974966 10.8308300 0.1234399
## 50%:d15-50%:d0      8.500000e+00   2.8358367 14.1641633 0.0000514
## 05%:d05-Ctrl:d05              NA          NA         NA        NA
## 10%:d05-Ctrl:d05              NA          NA         NA        NA
## 25%:d05-Ctrl:d05              NA          NA         NA        NA
## 50%:d05-Ctrl:d05              NA          NA         NA        NA
## Ctrl:d10-Ctrl:d05             NA          NA         NA        NA
## 05%:d10-Ctrl:d05              NA          NA         NA        NA
## 10%:d10-Ctrl:d05              NA          NA         NA        NA
## 25%:d10-Ctrl:d05              NA          NA         NA        NA
## 50%:d10-Ctrl:d05              NA          NA         NA        NA
## Ctrl:d15-Ctrl:d05             NA          NA         NA        NA
## 05%:d15-Ctrl:d05              NA          NA         NA        NA
## 10%:d15-Ctrl:d05              NA          NA         NA        NA
## 25%:d15-Ctrl:d05              NA          NA         NA        NA
## 50%:d15-Ctrl:d05              NA          NA         NA        NA
## 10%:d05-05%:d05     4.166667e+00  -1.4974966  9.8308300 0.4830424
## 25%:d05-05%:d05     1.333333e+00  -4.3308300  6.9974966 0.9999998
## 50%:d05-05%:d05    -5.000000e-01  -6.1641633  5.1641633 1.0000000
## Ctrl:d10-05%:d05              NA          NA         NA        NA
## 05%:d10-05%:d05     1.000000e+00  -4.6641633  6.6641633 1.0000000
## 10%:d10-05%:d05     2.666667e+00  -2.9974966  8.3308300 0.9842868
## 25%:d10-05%:d05     2.500000e+00  -3.1641633  8.1641633 0.9928967
## 50%:d10-05%:d05     1.000000e+00  -4.6641633  6.6641633 1.0000000
## Ctrl:d15-05%:d05              NA          NA         NA        NA
## 05%:d15-05%:d05     3.500000e+00  -2.1641633  9.1641633 0.7985224
## 10%:d15-05%:d05     4.500000e+00  -1.1641633 10.1641633 0.3307587
## 25%:d15-05%:d05    -4.440892e-15  -5.6641633  5.6641633 1.0000000
## 50%:d15-05%:d05     3.333333e+00  -2.3308300  8.9974966 0.8594219
## 25%:d05-10%:d05    -2.833333e+00  -8.4974966  2.8308300 0.9689165
## 50%:d05-10%:d05    -4.666667e+00 -10.3308300  0.9974966 0.2656295
## Ctrl:d10-10%:d05              NA          NA         NA        NA
## 05%:d10-10%:d05    -3.166667e+00  -8.8308300  2.4974966 0.9080917
## 10%:d10-10%:d05    -1.500000e+00  -7.1641633  4.1641633 0.9999983
## 25%:d10-10%:d05    -1.666667e+00  -7.3308300  3.9974966 0.9999877
## 50%:d10-10%:d05    -3.166667e+00  -8.8308300  2.4974966 0.9080917
## Ctrl:d15-10%:d05              NA          NA         NA        NA
## 05%:d15-10%:d05    -6.666667e-01  -6.3308300  4.9974966 1.0000000
## 10%:d15-10%:d05     3.333333e-01  -5.3308300  5.9974966 1.0000000
## 25%:d15-10%:d05    -4.166667e+00  -9.8308300  1.4974966 0.4830424
## 50%:d15-10%:d05    -8.333333e-01  -6.4974966  4.8308300 1.0000000
## 50%:d05-25%:d05    -1.833333e+00  -7.4974966  3.8308300 0.9999340
## Ctrl:d10-25%:d05              NA          NA         NA        NA
## 05%:d10-25%:d05    -3.333333e-01  -5.9974966  5.3308300 1.0000000
## 10%:d10-25%:d05     1.333333e+00  -4.3308300  6.9974966 0.9999998
## 25%:d10-25%:d05     1.166667e+00  -4.4974966  6.8308300 1.0000000
## 50%:d10-25%:d05    -3.333333e-01  -5.9974966  5.3308300 1.0000000
## Ctrl:d15-25%:d05              NA          NA         NA        NA
## 05%:d15-25%:d05     2.166667e+00  -3.4974966  7.8308300 0.9990317
## 10%:d15-25%:d05     3.166667e+00  -2.4974966  8.8308300 0.9080917
## 25%:d15-25%:d05    -1.333333e+00  -6.9974966  4.3308300 0.9999998
## 50%:d15-25%:d05     2.000000e+00  -3.6641633  7.6641633 0.9997204
## Ctrl:d10-50%:d05              NA          NA         NA        NA
## 05%:d10-50%:d05     1.500000e+00  -4.1641633  7.1641633 0.9999983
## 10%:d10-50%:d05     3.166667e+00  -2.4974966  8.8308300 0.9080917
## 25%:d10-50%:d05     3.000000e+00  -2.6641633  8.6641633 0.9442242
## 50%:d10-50%:d05     1.500000e+00  -4.1641633  7.1641633 0.9999983
## Ctrl:d15-50%:d05              NA          NA         NA        NA
## 05%:d15-50%:d05     4.000000e+00  -1.6641633  9.6641633 0.5656846
## 10%:d15-50%:d05     5.000000e+00  -0.6641633 10.6641633 0.1621134
## 25%:d15-50%:d05     5.000000e-01  -5.1641633  6.1641633 1.0000000
## 50%:d15-50%:d05     3.833333e+00  -1.8308300  9.4974966 0.6483288
## 05%:d10-Ctrl:d10              NA          NA         NA        NA
## 10%:d10-Ctrl:d10              NA          NA         NA        NA
## 25%:d10-Ctrl:d10              NA          NA         NA        NA
## 50%:d10-Ctrl:d10              NA          NA         NA        NA
## Ctrl:d15-Ctrl:d10             NA          NA         NA        NA
## 05%:d15-Ctrl:d10              NA          NA         NA        NA
## 10%:d15-Ctrl:d10              NA          NA         NA        NA
## 25%:d15-Ctrl:d10              NA          NA         NA        NA
## 50%:d15-Ctrl:d10              NA          NA         NA        NA
## 10%:d10-05%:d10     1.666667e+00  -3.9974966  7.3308300 0.9999877
## 25%:d10-05%:d10     1.500000e+00  -4.1641633  7.1641633 0.9999983
## 50%:d10-05%:d10     0.000000e+00  -5.6641633  5.6641633 1.0000000
## Ctrl:d15-05%:d10              NA          NA         NA        NA
## 05%:d15-05%:d10     2.500000e+00  -3.1641633  8.1641633 0.9928967
## 10%:d15-05%:d10     3.500000e+00  -2.1641633  9.1641633 0.7985224
## 25%:d15-05%:d10    -1.000000e+00  -6.6641633  4.6641633 1.0000000
## 50%:d15-05%:d10     2.333333e+00  -3.3308300  7.9974966 0.9971758
## 25%:d10-10%:d10    -1.666667e-01  -5.8308300  5.4974966 1.0000000
## 50%:d10-10%:d10    -1.666667e+00  -7.3308300  3.9974966 0.9999877
## Ctrl:d15-10%:d10              NA          NA         NA        NA
## 05%:d15-10%:d10     8.333333e-01  -4.8308300  6.4974966 1.0000000
## 10%:d15-10%:d10     1.833333e+00  -3.8308300  7.4974966 0.9999340
## 25%:d15-10%:d10    -2.666667e+00  -8.3308300  2.9974966 0.9842868
## 50%:d15-10%:d10     6.666667e-01  -4.9974966  6.3308300 1.0000000
## 50%:d10-25%:d10    -1.500000e+00  -7.1641633  4.1641633 0.9999983
## Ctrl:d15-25%:d10              NA          NA         NA        NA
## 05%:d15-25%:d10     1.000000e+00  -4.6641633  6.6641633 1.0000000
## 10%:d15-25%:d10     2.000000e+00  -3.6641633  7.6641633 0.9997204
## 25%:d15-25%:d10    -2.500000e+00  -8.1641633  3.1641633 0.9928967
## 50%:d15-25%:d10     8.333333e-01  -4.8308300  6.4974966 1.0000000
## Ctrl:d15-50%:d10              NA          NA         NA        NA
## 05%:d15-50%:d10     2.500000e+00  -3.1641633  8.1641633 0.9928967
## 10%:d15-50%:d10     3.500000e+00  -2.1641633  9.1641633 0.7985224
## 25%:d15-50%:d10    -1.000000e+00  -6.6641633  4.6641633 1.0000000
## 50%:d15-50%:d10     2.333333e+00  -3.3308300  7.9974966 0.9971758
## 05%:d15-Ctrl:d15              NA          NA         NA        NA
## 10%:d15-Ctrl:d15              NA          NA         NA        NA
## 25%:d15-Ctrl:d15              NA          NA         NA        NA
## 50%:d15-Ctrl:d15              NA          NA         NA        NA
## 10%:d15-05%:d15     1.000000e+00  -4.6641633  6.6641633 1.0000000
## 25%:d15-05%:d15    -3.500000e+00  -9.1641633  2.1641633 0.7985224
## 50%:d15-05%:d15    -1.666667e-01  -5.8308300  5.4974966 1.0000000
## 25%:d15-10%:d15    -4.500000e+00 -10.1641633  1.1641633 0.3307587
## 50%:d15-10%:d15    -1.166667e+00  -6.8308300  4.4974966 1.0000000
## 50%:d15-25%:d15     3.333333e+00  -2.3308300  8.9974966 0.8594219
aov_Treatment_appl_F <- aov(Percent_Ind_F ~ Treatment * Bti_application, data = data[Day == 17])
summary(aov_Treatment_appl_F)
##                           Df Sum Sq Mean Sq F value   Pr(>F)    
## Treatment                  4 0.4099 0.10247    3.57  0.00968 ** 
## Bti_application            3 0.7122 0.23740    8.27 6.87e-05 ***
## Treatment:Bti_application  9 0.1964 0.02182    0.76  0.65323    
## Residuals                 85 2.4400 0.02871                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
TukeyHSD(aov_Treatment_appl_F)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Percent_Ind_F ~ Treatment * Bti_application, data = data[Day == 17])
## 
## $Treatment
##                  diff        lwr         upr     p adj
## 05%-Ctrl  0.060416667 -0.1551258  0.27595913 0.9353712
## 10%-Ctrl -0.025000000 -0.2405425  0.19054246 0.9975928
## 25%-Ctrl -0.002083333 -0.2176258  0.21345913 0.9999999
## 50%-Ctrl -0.120833333 -0.3363758  0.09470913 0.5253489
## 10%-05%  -0.085416667 -0.2217377  0.05090435 0.4116047
## 25%-05%  -0.062500000 -0.1988210  0.07382102 0.7054102
## 50%-05%  -0.181250000 -0.3175710 -0.04492898 0.0033595
## 25%-10%   0.022916667 -0.1134044  0.15923769 0.9899497
## 50%-10%  -0.095833333 -0.2321544  0.04048769 0.2947714
## 50%-25%  -0.118750000 -0.2550710  0.01757102 0.1178494
## 
## $Bti_application
##                 diff         lwr        upr     p adj
## d0-none  -0.14270833 -0.35825079 0.07283413 0.3548422
## d05-none  0.01354167 -0.20200079 0.22908413 0.9997852
## d10-none  0.04479167 -0.17075079 0.26033413 0.9777932
## d15-none  0.08437500 -0.13116746 0.29991746 0.8106739
## d05-d0    0.15625000  0.01992898 0.29257102 0.0163933
## d10-d0    0.18750000  0.05117898 0.32382102 0.0021964
## d15-d0    0.22708333  0.09076231 0.36340435 0.0001189
## d10-d05   0.03125000 -0.10507102 0.16757102 0.9682279
## d15-d05   0.07083333 -0.06548769 0.20715435 0.5985529
## d15-d10   0.03958333 -0.09673769 0.17590435 0.9270907
## 
## $`Treatment:Bti_application`
##                             diff         lwr        upr     p adj
## 05%:none-Ctrl:none            NA          NA         NA        NA
## 10%:none-Ctrl:none            NA          NA         NA        NA
## 25%:none-Ctrl:none            NA          NA         NA        NA
## 50%:none-Ctrl:none            NA          NA         NA        NA
## Ctrl:d0-Ctrl:none             NA          NA         NA        NA
## 05%:d0-Ctrl:none   -5.000000e-02 -0.41994117 0.31994117 1.0000000
## 10%:d0-Ctrl:none   -1.583333e-01 -0.52827450 0.21160784 0.9952492
## 25%:d0-Ctrl:none   -1.583333e-01 -0.52827450 0.21160784 0.9952492
## 50%:d0-Ctrl:none   -2.916667e-01 -0.66160784 0.07827450 0.3451924
## Ctrl:d05-Ctrl:none            NA          NA         NA        NA
## 05%:d05-Ctrl:none   1.166667e-01 -0.25327450 0.48660784 0.9999578
## 10%:d05-Ctrl:none  -4.166667e-02 -0.41160784 0.32827450 1.0000000
## 25%:d05-Ctrl:none   5.000000e-02 -0.31994117 0.41994117 1.0000000
## 50%:d05-Ctrl:none  -1.583333e-01 -0.52827450 0.21160784 0.9952492
## Ctrl:d10-Ctrl:none            NA          NA         NA        NA
## 05%:d10-Ctrl:none   1.333333e-01 -0.23660784 0.50327450 0.9996124
## 10%:d10-Ctrl:none   5.000000e-02 -0.31994117 0.41994117 1.0000000
## 25%:d10-Ctrl:none  -6.661338e-16 -0.36994117 0.36994117 1.0000000
## 50%:d10-Ctrl:none  -9.166667e-02 -0.46160784 0.27827450 0.9999995
## Ctrl:d15-Ctrl:none            NA          NA         NA        NA
## 05%:d15-Ctrl:none   4.166667e-02 -0.32827450 0.41160784 1.0000000
## 10%:d15-Ctrl:none   5.000000e-02 -0.31994117 0.41994117 1.0000000
## 25%:d15-Ctrl:none   1.000000e-01 -0.26994117 0.46994117 0.9999974
## 50%:d15-Ctrl:none   5.833333e-02 -0.31160784 0.42827450 1.0000000
## 10%:none-05%:none             NA          NA         NA        NA
## 25%:none-05%:none             NA          NA         NA        NA
## 50%:none-05%:none             NA          NA         NA        NA
## Ctrl:d0-05%:none              NA          NA         NA        NA
## 05%:d0-05%:none               NA          NA         NA        NA
## 10%:d0-05%:none               NA          NA         NA        NA
## 25%:d0-05%:none               NA          NA         NA        NA
## 50%:d0-05%:none               NA          NA         NA        NA
## Ctrl:d05-05%:none             NA          NA         NA        NA
## 05%:d05-05%:none              NA          NA         NA        NA
## 10%:d05-05%:none              NA          NA         NA        NA
## 25%:d05-05%:none              NA          NA         NA        NA
## 50%:d05-05%:none              NA          NA         NA        NA
## Ctrl:d10-05%:none             NA          NA         NA        NA
## 05%:d10-05%:none              NA          NA         NA        NA
## 10%:d10-05%:none              NA          NA         NA        NA
## 25%:d10-05%:none              NA          NA         NA        NA
## 50%:d10-05%:none              NA          NA         NA        NA
## Ctrl:d15-05%:none             NA          NA         NA        NA
## 05%:d15-05%:none              NA          NA         NA        NA
## 10%:d15-05%:none              NA          NA         NA        NA
## 25%:d15-05%:none              NA          NA         NA        NA
## 50%:d15-05%:none              NA          NA         NA        NA
## 25%:none-10%:none             NA          NA         NA        NA
## 50%:none-10%:none             NA          NA         NA        NA
## Ctrl:d0-10%:none              NA          NA         NA        NA
## 05%:d0-10%:none               NA          NA         NA        NA
## 10%:d0-10%:none               NA          NA         NA        NA
## 25%:d0-10%:none               NA          NA         NA        NA
## 50%:d0-10%:none               NA          NA         NA        NA
## Ctrl:d05-10%:none             NA          NA         NA        NA
## 05%:d05-10%:none              NA          NA         NA        NA
## 10%:d05-10%:none              NA          NA         NA        NA
## 25%:d05-10%:none              NA          NA         NA        NA
## 50%:d05-10%:none              NA          NA         NA        NA
## Ctrl:d10-10%:none             NA          NA         NA        NA
## 05%:d10-10%:none              NA          NA         NA        NA
## 10%:d10-10%:none              NA          NA         NA        NA
## 25%:d10-10%:none              NA          NA         NA        NA
## 50%:d10-10%:none              NA          NA         NA        NA
## Ctrl:d15-10%:none             NA          NA         NA        NA
## 05%:d15-10%:none              NA          NA         NA        NA
## 10%:d15-10%:none              NA          NA         NA        NA
## 25%:d15-10%:none              NA          NA         NA        NA
## 50%:d15-10%:none              NA          NA         NA        NA
## 50%:none-25%:none             NA          NA         NA        NA
## Ctrl:d0-25%:none              NA          NA         NA        NA
## 05%:d0-25%:none               NA          NA         NA        NA
## 10%:d0-25%:none               NA          NA         NA        NA
## 25%:d0-25%:none               NA          NA         NA        NA
## 50%:d0-25%:none               NA          NA         NA        NA
## Ctrl:d05-25%:none             NA          NA         NA        NA
## 05%:d05-25%:none              NA          NA         NA        NA
## 10%:d05-25%:none              NA          NA         NA        NA
## 25%:d05-25%:none              NA          NA         NA        NA
## 50%:d05-25%:none              NA          NA         NA        NA
## Ctrl:d10-25%:none             NA          NA         NA        NA
## 05%:d10-25%:none              NA          NA         NA        NA
## 10%:d10-25%:none              NA          NA         NA        NA
## 25%:d10-25%:none              NA          NA         NA        NA
## 50%:d10-25%:none              NA          NA         NA        NA
## Ctrl:d15-25%:none             NA          NA         NA        NA
## 05%:d15-25%:none              NA          NA         NA        NA
## 10%:d15-25%:none              NA          NA         NA        NA
## 25%:d15-25%:none              NA          NA         NA        NA
## 50%:d15-25%:none              NA          NA         NA        NA
## Ctrl:d0-50%:none              NA          NA         NA        NA
## 05%:d0-50%:none               NA          NA         NA        NA
## 10%:d0-50%:none               NA          NA         NA        NA
## 25%:d0-50%:none               NA          NA         NA        NA
## 50%:d0-50%:none               NA          NA         NA        NA
## Ctrl:d05-50%:none             NA          NA         NA        NA
## 05%:d05-50%:none              NA          NA         NA        NA
## 10%:d05-50%:none              NA          NA         NA        NA
## 25%:d05-50%:none              NA          NA         NA        NA
## 50%:d05-50%:none              NA          NA         NA        NA
## Ctrl:d10-50%:none             NA          NA         NA        NA
## 05%:d10-50%:none              NA          NA         NA        NA
## 10%:d10-50%:none              NA          NA         NA        NA
## 25%:d10-50%:none              NA          NA         NA        NA
## 50%:d10-50%:none              NA          NA         NA        NA
## Ctrl:d15-50%:none             NA          NA         NA        NA
## 05%:d15-50%:none              NA          NA         NA        NA
## 10%:d15-50%:none              NA          NA         NA        NA
## 25%:d15-50%:none              NA          NA         NA        NA
## 50%:d15-50%:none              NA          NA         NA        NA
## 05%:d0-Ctrl:d0                NA          NA         NA        NA
## 10%:d0-Ctrl:d0                NA          NA         NA        NA
## 25%:d0-Ctrl:d0                NA          NA         NA        NA
## 50%:d0-Ctrl:d0                NA          NA         NA        NA
## Ctrl:d05-Ctrl:d0              NA          NA         NA        NA
## 05%:d05-Ctrl:d0               NA          NA         NA        NA
## 10%:d05-Ctrl:d0               NA          NA         NA        NA
## 25%:d05-Ctrl:d0               NA          NA         NA        NA
## 50%:d05-Ctrl:d0               NA          NA         NA        NA
## Ctrl:d10-Ctrl:d0              NA          NA         NA        NA
## 05%:d10-Ctrl:d0               NA          NA         NA        NA
## 10%:d10-Ctrl:d0               NA          NA         NA        NA
## 25%:d10-Ctrl:d0               NA          NA         NA        NA
## 50%:d10-Ctrl:d0               NA          NA         NA        NA
## Ctrl:d15-Ctrl:d0              NA          NA         NA        NA
## 05%:d15-Ctrl:d0               NA          NA         NA        NA
## 10%:d15-Ctrl:d0               NA          NA         NA        NA
## 25%:d15-Ctrl:d0               NA          NA         NA        NA
## 50%:d15-Ctrl:d0               NA          NA         NA        NA
## 10%:d0-05%:d0      -1.083333e-01 -0.47827450 0.26160784 0.9999887
## 25%:d0-05%:d0      -1.083333e-01 -0.47827450 0.26160784 0.9999887
## 50%:d0-05%:d0      -2.416667e-01 -0.61160784 0.12827450 0.7118154
## Ctrl:d05-05%:d0               NA          NA         NA        NA
## 05%:d05-05%:d0      1.666667e-01 -0.20327450 0.53660784 0.9907891
## 10%:d05-05%:d0      8.333333e-03 -0.36160784 0.37827450 1.0000000
## 25%:d05-05%:d0      1.000000e-01 -0.26994117 0.46994117 0.9999974
## 50%:d05-05%:d0     -1.083333e-01 -0.47827450 0.26160784 0.9999887
## Ctrl:d10-05%:d0               NA          NA         NA        NA
## 05%:d10-05%:d0      1.833333e-01 -0.18660784 0.55327450 0.9718999
## 10%:d10-05%:d0      1.000000e-01 -0.26994117 0.46994117 0.9999974
## 25%:d10-05%:d0      5.000000e-02 -0.31994117 0.41994117 1.0000000
## 50%:d10-05%:d0     -4.166667e-02 -0.41160784 0.32827450 1.0000000
## Ctrl:d15-05%:d0               NA          NA         NA        NA
## 05%:d15-05%:d0      9.166667e-02 -0.27827450 0.46160784 0.9999995
## 10%:d15-05%:d0      1.000000e-01 -0.26994117 0.46994117 0.9999974
## 25%:d15-05%:d0      1.500000e-01 -0.21994117 0.51994117 0.9977384
## 50%:d15-05%:d0      1.083333e-01 -0.26160784 0.47827450 0.9999887
## 25%:d0-10%:d0      -1.665335e-16 -0.36994117 0.36994117 1.0000000
## 50%:d0-10%:d0      -1.333333e-01 -0.50327450 0.23660784 0.9996124
## Ctrl:d05-10%:d0               NA          NA         NA        NA
## 05%:d05-10%:d0      2.750000e-01 -0.09494117 0.64494117 0.4617425
## 10%:d05-10%:d0      1.166667e-01 -0.25327450 0.48660784 0.9999578
## 25%:d05-10%:d0      2.083333e-01 -0.16160784 0.57827450 0.9020976
## 50%:d05-10%:d0      3.885781e-16 -0.36994117 0.36994117 1.0000000
## Ctrl:d10-10%:d0               NA          NA         NA        NA
## 05%:d10-10%:d0      2.916667e-01 -0.07827450 0.66160784 0.3451924
## 10%:d10-10%:d0      2.083333e-01 -0.16160784 0.57827450 0.9020976
## 25%:d10-10%:d0      1.583333e-01 -0.21160784 0.52827450 0.9952492
## 50%:d10-10%:d0      6.666667e-02 -0.30327450 0.43660784 1.0000000
## Ctrl:d15-10%:d0               NA          NA         NA        NA
## 05%:d15-10%:d0      2.000000e-01 -0.16994117 0.56994117 0.9321645
## 10%:d15-10%:d0      2.083333e-01 -0.16160784 0.57827450 0.9020976
## 25%:d15-10%:d0      2.583333e-01 -0.11160784 0.62827450 0.5879858
## 50%:d15-10%:d0      2.166667e-01 -0.15327450 0.58660784 0.8646261
## 50%:d0-25%:d0      -1.333333e-01 -0.50327450 0.23660784 0.9996124
## Ctrl:d05-25%:d0               NA          NA         NA        NA
## 05%:d05-25%:d0      2.750000e-01 -0.09494117 0.64494117 0.4617425
## 10%:d05-25%:d0      1.166667e-01 -0.25327450 0.48660784 0.9999578
## 25%:d05-25%:d0      2.083333e-01 -0.16160784 0.57827450 0.9020976
## 50%:d05-25%:d0      5.551115e-16 -0.36994117 0.36994117 1.0000000
## Ctrl:d10-25%:d0               NA          NA         NA        NA
## 05%:d10-25%:d0      2.916667e-01 -0.07827450 0.66160784 0.3451924
## 10%:d10-25%:d0      2.083333e-01 -0.16160784 0.57827450 0.9020976
## 25%:d10-25%:d0      1.583333e-01 -0.21160784 0.52827450 0.9952492
## 50%:d10-25%:d0      6.666667e-02 -0.30327450 0.43660784 1.0000000
## Ctrl:d15-25%:d0               NA          NA         NA        NA
## 05%:d15-25%:d0      2.000000e-01 -0.16994117 0.56994117 0.9321645
## 10%:d15-25%:d0      2.083333e-01 -0.16160784 0.57827450 0.9020976
## 25%:d15-25%:d0      2.583333e-01 -0.11160784 0.62827450 0.5879858
## 50%:d15-25%:d0      2.166667e-01 -0.15327450 0.58660784 0.8646261
## Ctrl:d05-50%:d0               NA          NA         NA        NA
## 05%:d05-50%:d0      4.083333e-01  0.03839216 0.77827450 0.0148058
## 10%:d05-50%:d0      2.500000e-01 -0.11994117 0.61994117 0.6510549
## 25%:d05-50%:d0      3.416667e-01 -0.02827450 0.71160784 0.1105915
## 50%:d05-50%:d0      1.333333e-01 -0.23660784 0.50327450 0.9996124
## Ctrl:d10-50%:d0               NA          NA         NA        NA
## 05%:d10-50%:d0      4.250000e-01  0.05505883 0.79494117 0.0083666
## 10%:d10-50%:d0      3.416667e-01 -0.02827450 0.71160784 0.1105915
## 25%:d10-50%:d0      2.916667e-01 -0.07827450 0.66160784 0.3451924
## 50%:d10-50%:d0      2.000000e-01 -0.16994117 0.56994117 0.9321645
## Ctrl:d15-50%:d0               NA          NA         NA        NA
## 05%:d15-50%:d0      3.333333e-01 -0.03660784 0.70327450 0.1370974
## 10%:d15-50%:d0      3.416667e-01 -0.02827450 0.71160784 0.1105915
## 25%:d15-50%:d0      3.916667e-01  0.02172550 0.76160784 0.0255638
## 50%:d15-50%:d0      3.500000e-01 -0.01994117 0.71994117 0.0884081
## 05%:d05-Ctrl:d05              NA          NA         NA        NA
## 10%:d05-Ctrl:d05              NA          NA         NA        NA
## 25%:d05-Ctrl:d05              NA          NA         NA        NA
## 50%:d05-Ctrl:d05              NA          NA         NA        NA
## Ctrl:d10-Ctrl:d05             NA          NA         NA        NA
## 05%:d10-Ctrl:d05              NA          NA         NA        NA
## 10%:d10-Ctrl:d05              NA          NA         NA        NA
## 25%:d10-Ctrl:d05              NA          NA         NA        NA
## 50%:d10-Ctrl:d05              NA          NA         NA        NA
## Ctrl:d15-Ctrl:d05             NA          NA         NA        NA
## 05%:d15-Ctrl:d05              NA          NA         NA        NA
## 10%:d15-Ctrl:d05              NA          NA         NA        NA
## 25%:d15-Ctrl:d05              NA          NA         NA        NA
## 50%:d15-Ctrl:d05              NA          NA         NA        NA
## 10%:d05-05%:d05    -1.583333e-01 -0.52827450 0.21160784 0.9952492
## 25%:d05-05%:d05    -6.666667e-02 -0.43660784 0.30327450 1.0000000
## 50%:d05-05%:d05    -2.750000e-01 -0.64494117 0.09494117 0.4617425
## Ctrl:d10-05%:d05              NA          NA         NA        NA
## 05%:d10-05%:d05     1.666667e-02 -0.35327450 0.38660784 1.0000000
## 10%:d10-05%:d05    -6.666667e-02 -0.43660784 0.30327450 1.0000000
## 25%:d10-05%:d05    -1.166667e-01 -0.48660784 0.25327450 0.9999578
## 50%:d10-05%:d05    -2.083333e-01 -0.57827450 0.16160784 0.9020976
## Ctrl:d15-05%:d05              NA          NA         NA        NA
## 05%:d15-05%:d05    -7.500000e-02 -0.44494117 0.29494117 1.0000000
## 10%:d15-05%:d05    -6.666667e-02 -0.43660784 0.30327450 1.0000000
## 25%:d15-05%:d05    -1.666667e-02 -0.38660784 0.35327450 1.0000000
## 50%:d15-05%:d05    -5.833333e-02 -0.42827450 0.31160784 1.0000000
## 25%:d05-10%:d05     9.166667e-02 -0.27827450 0.46160784 0.9999995
## 50%:d05-10%:d05    -1.166667e-01 -0.48660784 0.25327450 0.9999578
## Ctrl:d10-10%:d05              NA          NA         NA        NA
## 05%:d10-10%:d05     1.750000e-01 -0.19494117 0.54494117 0.9833824
## 10%:d10-10%:d05     9.166667e-02 -0.27827450 0.46160784 0.9999995
## 25%:d10-10%:d05     4.166667e-02 -0.32827450 0.41160784 1.0000000
## 50%:d10-10%:d05    -5.000000e-02 -0.41994117 0.31994117 1.0000000
## Ctrl:d15-10%:d05              NA          NA         NA        NA
## 05%:d15-10%:d05     8.333333e-02 -0.28660784 0.45327450 0.9999999
## 10%:d15-10%:d05     9.166667e-02 -0.27827450 0.46160784 0.9999995
## 25%:d15-10%:d05     1.416667e-01 -0.22827450 0.51160784 0.9990156
## 50%:d15-10%:d05     1.000000e-01 -0.26994117 0.46994117 0.9999974
## 50%:d05-25%:d05    -2.083333e-01 -0.57827450 0.16160784 0.9020976
## Ctrl:d10-25%:d05              NA          NA         NA        NA
## 05%:d10-25%:d05     8.333333e-02 -0.28660784 0.45327450 0.9999999
## 10%:d10-25%:d05    -5.551115e-17 -0.36994117 0.36994117 1.0000000
## 25%:d10-25%:d05    -5.000000e-02 -0.41994117 0.31994117 1.0000000
## 50%:d10-25%:d05    -1.416667e-01 -0.51160784 0.22827450 0.9990156
## Ctrl:d15-25%:d05              NA          NA         NA        NA
## 05%:d15-25%:d05    -8.333333e-03 -0.37827450 0.36160784 1.0000000
## 10%:d15-25%:d05     1.110223e-16 -0.36994117 0.36994117 1.0000000
## 25%:d15-25%:d05     5.000000e-02 -0.31994117 0.41994117 1.0000000
## 50%:d15-25%:d05     8.333333e-03 -0.36160784 0.37827450 1.0000000
## Ctrl:d10-50%:d05              NA          NA         NA        NA
## 05%:d10-50%:d05     2.916667e-01 -0.07827450 0.66160784 0.3451924
## 10%:d10-50%:d05     2.083333e-01 -0.16160784 0.57827450 0.9020976
## 25%:d10-50%:d05     1.583333e-01 -0.21160784 0.52827450 0.9952492
## 50%:d10-50%:d05     6.666667e-02 -0.30327450 0.43660784 1.0000000
## Ctrl:d15-50%:d05              NA          NA         NA        NA
## 05%:d15-50%:d05     2.000000e-01 -0.16994117 0.56994117 0.9321645
## 10%:d15-50%:d05     2.083333e-01 -0.16160784 0.57827450 0.9020976
## 25%:d15-50%:d05     2.583333e-01 -0.11160784 0.62827450 0.5879858
## 50%:d15-50%:d05     2.166667e-01 -0.15327450 0.58660784 0.8646261
## 05%:d10-Ctrl:d10              NA          NA         NA        NA
## 10%:d10-Ctrl:d10              NA          NA         NA        NA
## 25%:d10-Ctrl:d10              NA          NA         NA        NA
## 50%:d10-Ctrl:d10              NA          NA         NA        NA
## Ctrl:d15-Ctrl:d10             NA          NA         NA        NA
## 05%:d15-Ctrl:d10              NA          NA         NA        NA
## 10%:d15-Ctrl:d10              NA          NA         NA        NA
## 25%:d15-Ctrl:d10              NA          NA         NA        NA
## 50%:d15-Ctrl:d10              NA          NA         NA        NA
## 10%:d10-05%:d10    -8.333333e-02 -0.45327450 0.28660784 0.9999999
## 25%:d10-05%:d10    -1.333333e-01 -0.50327450 0.23660784 0.9996124
## 50%:d10-05%:d10    -2.250000e-01 -0.59494117 0.14494117 0.8199012
## Ctrl:d15-05%:d10              NA          NA         NA        NA
## 05%:d15-05%:d10    -9.166667e-02 -0.46160784 0.27827450 0.9999995
## 10%:d15-05%:d10    -8.333333e-02 -0.45327450 0.28660784 0.9999999
## 25%:d15-05%:d10    -3.333333e-02 -0.40327450 0.33660784 1.0000000
## 50%:d15-05%:d10    -7.500000e-02 -0.44494117 0.29494117 1.0000000
## 25%:d10-10%:d10    -5.000000e-02 -0.41994117 0.31994117 1.0000000
## 50%:d10-10%:d10    -1.416667e-01 -0.51160784 0.22827450 0.9990156
## Ctrl:d15-10%:d10              NA          NA         NA        NA
## 05%:d15-10%:d10    -8.333333e-03 -0.37827450 0.36160784 1.0000000
## 10%:d15-10%:d10     1.665335e-16 -0.36994117 0.36994117 1.0000000
## 25%:d15-10%:d10     5.000000e-02 -0.31994117 0.41994117 1.0000000
## 50%:d15-10%:d10     8.333333e-03 -0.36160784 0.37827450 1.0000000
## 50%:d10-25%:d10    -9.166667e-02 -0.46160784 0.27827450 0.9999995
## Ctrl:d15-25%:d10              NA          NA         NA        NA
## 05%:d15-25%:d10     4.166667e-02 -0.32827450 0.41160784 1.0000000
## 10%:d15-25%:d10     5.000000e-02 -0.31994117 0.41994117 1.0000000
## 25%:d15-25%:d10     1.000000e-01 -0.26994117 0.46994117 0.9999974
## 50%:d15-25%:d10     5.833333e-02 -0.31160784 0.42827450 1.0000000
## Ctrl:d15-50%:d10              NA          NA         NA        NA
## 05%:d15-50%:d10     1.333333e-01 -0.23660784 0.50327450 0.9996124
## 10%:d15-50%:d10     1.416667e-01 -0.22827450 0.51160784 0.9990156
## 25%:d15-50%:d10     1.916667e-01 -0.17827450 0.56160784 0.9551763
## 50%:d15-50%:d10     1.500000e-01 -0.21994117 0.51994117 0.9977384
## 05%:d15-Ctrl:d15              NA          NA         NA        NA
## 10%:d15-Ctrl:d15              NA          NA         NA        NA
## 25%:d15-Ctrl:d15              NA          NA         NA        NA
## 50%:d15-Ctrl:d15              NA          NA         NA        NA
## 10%:d15-05%:d15     8.333333e-03 -0.36160784 0.37827450 1.0000000
## 25%:d15-05%:d15     5.833333e-02 -0.31160784 0.42827450 1.0000000
## 50%:d15-05%:d15     1.666667e-02 -0.35327450 0.38660784 1.0000000
## 25%:d15-10%:d15     5.000000e-02 -0.31994117 0.41994117 1.0000000
## 50%:d15-10%:d15     8.333333e-03 -0.36160784 0.37827450 1.0000000
## 50%:d15-25%:d15    -4.166667e-02 -0.41160784 0.32827450 1.0000000
plot(aov_Treatment_appl_F)

#Larval_stage x Bti_application
aov_Larval_stage_appl <- aov(Ind ~ Larval_stage * Bti_application, data = data[Day == 17])
summary(aov_Larval_stage_appl)
##                              Df Sum Sq Mean Sq F value   Pr(>F)    
## Larval_stage                  1  145.9  145.92   7.271  0.00833 ** 
## Bti_application               4 1210.2  302.55  15.075 1.63e-09 ***
## Larval_stage:Bti_application  4  314.6   78.64   3.919  0.00554 ** 
## Residuals                    92 1846.3   20.07                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_appl) 

TukeyHSD(aov_Larval_stage_appl)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Ind ~ Larval_stage * Bti_application, data = data[Day == 17])
## 
## $Larval_stage
##           diff       lwr      upr     p adj
## Lx-L1 2.392157 0.6302247 4.154089 0.0083337
## 
## $Bti_application
##                diff         lwr        upr     p adj
## d0-none  -6.6666667 -12.3564298 -0.9769035 0.0132185
## d05-none -0.2500000  -5.9397631  5.4397631 0.9999486
## d10-none  0.9166667  -4.7730965  6.6064298 0.9915144
## d15-none  2.7500000  -2.9397631  8.4397631 0.6640318
## d05-d0    6.4166667   2.8181445 10.0151888 0.0000310
## d10-d0    7.5833333   3.9848112 11.1818555 0.0000007
## d15-d0    9.4166667   5.8181445 13.0151888 0.0000000
## d10-d05   1.1666667  -2.4318555  4.7651888 0.8953828
## d15-d05   3.0000000  -0.5985222  6.5985222 0.1479713
## d15-d10   1.8333333  -1.7651888  5.4318555 0.6179717
## 
## $`Larval_stage:Bti_application`
##                         diff         lwr        upr     p adj
## Lx:none-L1:none  -2.66666667 -14.5275234  9.1941900 0.9992462
## L1:d0-L1:none   -12.25000000 -21.6268306 -2.8731694 0.0020984
## Lx:d0-L1:none    -3.75000000 -13.1268306  5.6268306 0.9519670
## L1:d05-L1:none   -1.91666667 -11.2934972  7.4601639 0.9996510
## Lx:d05-L1:none   -1.25000000 -10.6268306  8.1268306 0.9999905
## L1:d10-L1:none   -1.16666667 -10.5434972  8.2101639 0.9999948
## Lx:d10-L1:none    0.33333333  -9.0434972  9.7101639 1.0000000
## L1:d15-L1:none    1.33333333  -8.0434972 10.7101639 0.9999834
## Lx:d15-L1:none    1.50000000  -7.8768306 10.8768306 0.9999548
## L1:d0-Lx:none    -9.58333333 -18.9601639 -0.2065028 0.0409760
## Lx:d0-Lx:none    -1.08333333 -10.4601639  8.2934972 0.9999973
## L1:d05-Lx:none    0.75000000  -8.6268306 10.1268306 0.9999999
## Lx:d05-Lx:none    1.41666667  -7.9601639 10.7934972 0.9999722
## L1:d10-Lx:none    1.50000000  -7.8768306 10.8768306 0.9999548
## Lx:d10-Lx:none    3.00000000  -6.3768306 12.3768306 0.9890651
## L1:d15-Lx:none    4.00000000  -5.3768306 13.3768306 0.9293389
## Lx:d15-Lx:none    4.16666667  -5.2101639 13.5434972 0.9108097
## Lx:d0-L1:d0       8.50000000   2.5695716 14.4304284 0.0004574
## L1:d05-L1:d0     10.33333333   4.4029050 16.2637617 0.0000077
## Lx:d05-L1:d0     11.00000000   5.0695716 16.9304284 0.0000016
## L1:d10-L1:d0     11.08333333   5.1529050 17.0137617 0.0000013
## Lx:d10-L1:d0     12.58333333   6.6529050 18.5137617 0.0000000
## L1:d15-L1:d0     13.58333333   7.6529050 19.5137617 0.0000000
## Lx:d15-L1:d0     13.75000000   7.8195716 19.6804284 0.0000000
## L1:d05-Lx:d0      1.83333333  -4.0970950  7.7637617 0.9914391
## Lx:d05-Lx:d0      2.50000000  -3.4304284  8.4304284 0.9340714
## L1:d10-Lx:d0      2.58333333  -3.3470950  8.5137617 0.9202868
## Lx:d10-Lx:d0      4.08333333  -1.8470950 10.0137617 0.4426119
## L1:d15-Lx:d0      5.08333333  -0.8470950 11.0137617 0.1591417
## Lx:d15-Lx:d0      5.25000000  -0.6804284 11.1804284 0.1292050
## Lx:d05-L1:d05     0.66666667  -5.2637617  6.5970950 0.9999978
## L1:d10-L1:d05     0.75000000  -5.1804284  6.6804284 0.9999940
## Lx:d10-L1:d05     2.25000000  -3.6804284  8.1804284 0.9654744
## L1:d15-L1:d05     3.25000000  -2.6804284  9.1804284 0.7475995
## Lx:d15-L1:d05     3.41666667  -2.5137617  9.3470950 0.6899884
## L1:d10-Lx:d05     0.08333333  -5.8470950  6.0137617 1.0000000
## Lx:d10-Lx:d05     1.58333333  -4.3470950  7.5137617 0.9971113
## L1:d15-Lx:d05     2.58333333  -3.3470950  8.5137617 0.9202868
## Lx:d15-Lx:d05     2.75000000  -3.1804284  8.6804284 0.8873772
## Lx:d10-L1:d10     1.50000000  -4.4304284  7.4304284 0.9980933
## L1:d15-L1:d10     2.50000000  -3.4304284  8.4304284 0.9340714
## Lx:d15-L1:d10     2.66666667  -3.2637617  8.5970950 0.9047314
## L1:d15-Lx:d10     1.00000000  -4.9304284  6.9304284 0.9999294
## Lx:d15-Lx:d10     1.16666667  -4.7637617  7.0970950 0.9997450
## Lx:d15-L1:d15     0.16666667  -5.7637617  6.0970950 1.0000000
aov_Larval_stage_appl_M <- aov(M ~ Larval_stage * Bti_application, data = data[Day == 17])
summary(aov_Larval_stage_appl_M)
##                              Df Sum Sq Mean Sq F value   Pr(>F)    
## Larval_stage                  1    7.7    7.69   0.872    0.353    
## Bti_application               4  319.9   79.97   9.075 3.18e-06 ***
## Larval_stage:Bti_application  4   49.1   12.27   1.392    0.243    
## Residuals                    92  810.7    8.81                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_appl_M)

TukeyHSD(aov_Larval_stage_appl_M)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = M ~ Larval_stage * Bti_application, data = data[Day == 17])
## 
## $Larval_stage
##            diff        lwr      upr     p adj
## Lx-L1 0.5490196 -0.6184761 1.716515 0.3527667
## 
## $Bti_application
##                 diff        lwr       upr     p adj
## d0-none  -3.37500000 -7.1451644 0.3951644 0.1015966
## d05-none -0.08333333 -3.8534977 3.6868311 0.9999967
## d10-none  0.45833333 -3.3118311 4.2284977 0.9971322
## d15-none  1.50000000 -2.2701644 5.2701644 0.8024087
## d05-d0    3.29166667  0.9072053 5.6761280 0.0020519
## d10-d0    3.83333333  1.4488720 6.2177947 0.0002097
## d15-d0    4.87500000  2.4905387 7.2594613 0.0000015
## d10-d05   0.54166667 -1.8427947 2.9261280 0.9694729
## d15-d05   1.58333333 -0.8011280 3.9677947 0.3529898
## d15-d10   1.04166667 -1.3427947 3.4261280 0.7423559
## 
## $`Larval_stage:Bti_application`
##                          diff         lwr        upr     p adj
## Lx:none-L1:none -2.666667e+00 -10.5259358  5.1926025 0.9835350
## L1:d0-L1:none   -6.083333e+00 -12.2966311  0.1299645 0.0601157
## Lx:d0-L1:none   -3.333333e+00  -9.5466311  2.8799645 0.7699452
## L1:d05-L1:none  -1.583333e+00  -7.7966311  4.6299645 0.9979798
## Lx:d05-L1:none  -1.250000e+00  -7.4632978  4.9632978 0.9996935
## L1:d10-L1:none  -8.333333e-01  -7.0466311  5.3799645 0.9999900
## Lx:d10-L1:none  -9.166667e-01  -7.1299645  5.2966311 0.9999773
## L1:d15-L1:none   1.666667e-01  -6.0466311  6.3799645 1.0000000
## Lx:d15-L1:none   1.666667e-01  -6.0466311  6.3799645 1.0000000
## L1:d0-Lx:none   -3.416667e+00  -9.6299645  2.7966311 0.7438898
## Lx:d0-Lx:none   -6.666667e-01  -6.8799645  5.5466311 0.9999986
## L1:d05-Lx:none   1.083333e+00  -5.1299645  7.2966311 0.9999065
## Lx:d05-Lx:none   1.416667e+00  -4.7966311  7.6299645 0.9991568
## L1:d10-Lx:none   1.833333e+00  -4.3799645  8.0466311 0.9938966
## Lx:d10-Lx:none   1.750000e+00  -4.4632978  7.9632978 0.9956751
## L1:d15-Lx:none   2.833333e+00  -3.3799645  9.0466311 0.8971090
## Lx:d15-Lx:none   2.833333e+00  -3.3799645  9.0466311 0.8971090
## Lx:d0-L1:d0      2.750000e+00  -1.1796346  6.6796346 0.4187641
## L1:d05-L1:d0     4.500000e+00   0.5703654  8.4296346 0.0123273
## Lx:d05-L1:d0     4.833333e+00   0.9036988  8.7629679 0.0049817
## L1:d10-L1:d0     5.250000e+00   1.3203654  9.1796346 0.0014848
## Lx:d10-L1:d0     5.166667e+00   1.2370321  9.0963012 0.0019037
## L1:d15-L1:d0     6.250000e+00   2.3203654 10.1796346 0.0000608
## Lx:d15-L1:d0     6.250000e+00   2.3203654 10.1796346 0.0000608
## L1:d05-Lx:d0     1.750000e+00  -2.1796346  5.6796346 0.9097093
## Lx:d05-Lx:d0     2.083333e+00  -1.8463012  6.0129679 0.7818185
## L1:d10-Lx:d0     2.500000e+00  -1.4296346  6.4296346 0.5578531
## Lx:d10-Lx:d0     2.416667e+00  -1.5129679  6.3463012 0.6052334
## L1:d15-Lx:d0     3.500000e+00  -0.4296346  7.4296346 0.1239889
## Lx:d15-Lx:d0     3.500000e+00  -0.4296346  7.4296346 0.1239889
## Lx:d05-L1:d05    3.333333e-01  -3.5963012  4.2629679 0.9999998
## L1:d10-L1:d05    7.500000e-01  -3.1796346  4.6796346 0.9998014
## Lx:d10-L1:d05    6.666667e-01  -3.2629679  4.5963012 0.9999257
## L1:d15-L1:d05    1.750000e+00  -2.1796346  5.6796346 0.9097093
## Lx:d15-L1:d05    1.750000e+00  -2.1796346  5.6796346 0.9097093
## L1:d10-Lx:d05    4.166667e-01  -3.5129679  4.3463012 0.9999987
## Lx:d10-Lx:d05    3.333333e-01  -3.5963012  4.2629679 0.9999998
## L1:d15-Lx:d05    1.416667e+00  -2.5129679  5.3463012 0.9752310
## Lx:d15-Lx:d05    1.416667e+00  -2.5129679  5.3463012 0.9752310
## Lx:d10-L1:d10   -8.333333e-02  -4.0129679  3.8463012 1.0000000
## L1:d15-L1:d10    1.000000e+00  -2.9296346  4.9296346 0.9980013
## Lx:d15-L1:d10    1.000000e+00  -2.9296346  4.9296346 0.9980013
## L1:d15-Lx:d10    1.083333e+00  -2.8463012  5.0129679 0.9963173
## Lx:d15-Lx:d10    1.083333e+00  -2.8463012  5.0129679 0.9963173
## Lx:d15-L1:d15    1.776357e-15  -3.9296346  3.9296346 1.0000000
aov_Larval_stage_appl_F <- aov(F ~ Larval_stage * Bti_application, data = data[Day == 17])
summary(aov_Larval_stage_appl_F)
##                              Df Sum Sq Mean Sq F value   Pr(>F)    
## Larval_stage                  1   86.6   86.63   7.945 0.005905 ** 
## Bti_application               4  286.0   71.49   6.556 0.000109 ***
## Larval_stage:Bti_application  4  127.6   31.91   2.926 0.025085 *  
## Residuals                    92 1003.2   10.90                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_appl_F)

TukeyHSD(aov_Larval_stage_appl_F)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = F ~ Larval_stage * Bti_application, data = data[Day == 17])
## 
## $Larval_stage
##           diff       lwr      upr    p adj
## Lx-L1 1.843137 0.5444019 3.141873 0.005905
## 
## $Bti_application
##                diff        lwr       upr     p adj
## d0-none  -3.2916667 -7.4856401 0.9023068 0.1950195
## d05-none -0.1666667 -4.3606401 4.0273068 0.9999656
## d10-none  0.4583333 -3.7356401 4.6523068 0.9981073
## d15-none  1.2500000 -2.9439735 5.4439735 0.9208637
## d05-d0    3.1250000  0.4724983 5.7775017 0.0125281
## d10-d0    3.7500000  1.0974983 6.4025017 0.0014915
## d15-d0    4.5416667  1.8891649 7.1941684 0.0000681
## d10-d05   0.6250000 -2.0275017 3.2775017 0.9651635
## d15-d05   1.4166667 -1.2358351 4.0691684 0.5740292
## d15-d10   0.7916667 -1.8608351 3.4441684 0.9204931
## 
## $`Larval_stage:Bti_application`
##                          diff        lwr       upr     p adj
## Lx:none-L1:none -3.019807e-14  -8.742740  8.742740 1.0000000
## L1:d0-L1:none   -6.166667e+00 -13.078409  0.745076 0.1225393
## Lx:d0-L1:none   -4.166667e-01  -7.328409  6.495076 1.0000000
## L1:d05-L1:none  -3.333333e-01  -7.245076  6.578409 1.0000000
## Lx:d05-L1:none  -1.598721e-14  -6.911743  6.911743 1.0000000
## L1:d10-L1:none  -3.333333e-01  -7.245076  6.578409 1.0000000
## Lx:d10-L1:none   1.250000e+00  -5.661743  8.161743 0.9998730
## L1:d15-L1:none   1.166667e+00  -5.745076  8.078409 0.9999288
## Lx:d15-L1:none   1.333333e+00  -5.578409  8.245076 0.9997830
## L1:d0-Lx:none   -6.166667e+00 -13.078409  0.745076 0.1225393
## Lx:d0-Lx:none   -4.166667e-01  -7.328409  6.495076 1.0000000
## L1:d05-Lx:none  -3.333333e-01  -7.245076  6.578409 1.0000000
## Lx:d05-Lx:none   1.421085e-14  -6.911743  6.911743 1.0000000
## L1:d10-Lx:none  -3.333333e-01  -7.245076  6.578409 1.0000000
## Lx:d10-Lx:none   1.250000e+00  -5.661743  8.161743 0.9998730
## L1:d15-Lx:none   1.166667e+00  -5.745076  8.078409 0.9999288
## Lx:d15-Lx:none   1.333333e+00  -5.578409  8.245076 0.9997830
## Lx:d0-L1:d0      5.750000e+00   1.378630 10.121370 0.0018908
## L1:d05-L1:d0     5.833333e+00   1.461963 10.204703 0.0015124
## Lx:d05-L1:d0     6.166667e+00   1.795297 10.538037 0.0006044
## L1:d10-L1:d0     5.833333e+00   1.461963 10.204703 0.0015124
## Lx:d10-L1:d0     7.416667e+00   3.045297 11.788037 0.0000146
## L1:d15-L1:d0     7.333333e+00   2.961963 11.704703 0.0000189
## Lx:d15-L1:d0     7.500000e+00   3.128630 11.871370 0.0000112
## L1:d05-Lx:d0     8.333333e-02  -4.288037  4.454703 1.0000000
## Lx:d05-Lx:d0     4.166667e-01  -3.954703  4.788037 0.9999995
## L1:d10-Lx:d0     8.333333e-02  -4.288037  4.454703 1.0000000
## Lx:d10-Lx:d0     1.666667e+00  -2.704703  6.038037 0.9643748
## L1:d15-Lx:d0     1.583333e+00  -2.788037  5.954703 0.9744511
## Lx:d15-Lx:d0     1.750000e+00  -2.621370  6.121370 0.9516636
## Lx:d05-L1:d05    3.333333e-01  -4.038037  4.704703 0.9999999
## L1:d10-L1:d05    0.000000e+00  -4.371370  4.371370 1.0000000
## Lx:d10-L1:d05    1.583333e+00  -2.788037  5.954703 0.9744511
## L1:d15-L1:d05    1.500000e+00  -2.871370  5.871370 0.9822189
## Lx:d15-L1:d05    1.666667e+00  -2.704703  6.038037 0.9643748
## L1:d10-Lx:d05   -3.333333e-01  -4.704703  4.038037 0.9999999
## Lx:d10-Lx:d05    1.250000e+00  -3.121370  5.621370 0.9951586
## L1:d15-Lx:d05    1.166667e+00  -3.204703  5.538037 0.9971192
## Lx:d15-Lx:d05    1.333333e+00  -3.038037  5.704703 0.9922293
## Lx:d10-L1:d10    1.583333e+00  -2.788037  5.954703 0.9744511
## L1:d15-L1:d10    1.500000e+00  -2.871370  5.871370 0.9822189
## Lx:d15-L1:d10    1.666667e+00  -2.704703  6.038037 0.9643748
## L1:d15-Lx:d10   -8.333333e-02  -4.454703  4.288037 1.0000000
## Lx:d15-Lx:d10    8.333333e-02  -4.288037  4.454703 1.0000000
## Lx:d15-L1:d15    1.666667e-01  -4.204703  4.538037 1.0000000
#Larval_stage x Treatment
aov_Larval_stage_Treatment <- aov(Percent_Ind ~ Larval_stage * Treatment, data = data[Day == 17])
summary(aov_Larval_stage_Treatment)
##                        Df Sum Sq Mean Sq F value Pr(>F)  
## Larval_stage            1  0.365  0.3648   4.664 0.0334 *
## Treatment               4  1.079  0.2696   3.448 0.0113 *
## Larval_stage:Treatment  4  0.154  0.0384   0.491 0.7420  
## Residuals              92  7.195  0.0782                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Treatment)

aov_Larval_stage_Treatment_M <- aov(Percent_Ind_M ~ Larval_stage * Treatment, data = data[Day == 17])
summary(aov_Larval_stage_Treatment_M)
##                        Df Sum Sq Mean Sq F value Pr(>F)  
## Larval_stage            1 0.0192 0.01922   0.693 0.4071  
## Treatment               4 0.3359 0.08399   3.031 0.0214 *
## Larval_stage:Treatment  4 0.0639 0.01598   0.577 0.6803  
## Residuals              92 2.5492 0.02771                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Treatment_M)

aov_Larval_stage_Treatment_F <- aov(Percent_Ind_F ~ Larval_stage * Treatment, data = data[Day == 17])
summary(aov_Larval_stage_Treatment_F)
##                        Df Sum Sq Mean Sq F value Pr(>F)  
## Larval_stage            1 0.2166 0.21657   6.432 0.0129 *
## Treatment               4 0.4099 0.10247   3.044 0.0210 *
## Larval_stage:Treatment  4 0.0345 0.00862   0.256 0.9053  
## Residuals              92 3.0975 0.03367                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Treatment_F)

#Larval_stage x Treatment x Bti_application
aov_Larval_stage_Treatment_Bti_application <- aov(Percent_Ind ~ Larval_stage * Treatment * Bti_application, data = data[Day == 17])
summary(aov_Larval_stage_Treatment_Bti_application)
##                                        Df Sum Sq Mean Sq F value   Pr(>F)    
## Larval_stage                            1 0.3648  0.3648   9.137 0.003530 ** 
## Treatment                               4 1.0786  0.2696   6.754 0.000123 ***
## Bti_application                         3 3.0161  1.0054  25.181 4.54e-11 ***
## Larval_stage:Treatment                  4 0.1537  0.0384   0.963 0.433766    
## Larval_stage:Bti_application            3 0.6845  0.2282   5.714 0.001506 ** 
## Treatment:Bti_application               9 0.6386  0.0710   1.777 0.088700 .  
## Larval_stage:Treatment:Bti_application  9 0.1411  0.0157   0.393 0.934561    
## Residuals                              68 2.7150  0.0399                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Treatment_Bti_application)

aov_Larval_stage_Treatment_Bti_application_M <- aov(Percent_Ind_M ~ Larval_stage * Treatment * Bti_application, data = data[Day == 17])
summary(aov_Larval_stage_Treatment_Bti_application_M)
##                                        Df Sum Sq Mean Sq F value   Pr(>F)    
## Larval_stage                            1 0.0192 0.01922   1.126  0.29229    
## Treatment                               4 0.3359 0.08399   4.923  0.00152 ** 
## Bti_application                         3 0.7977 0.26590  15.587 8.11e-08 ***
## Larval_stage:Treatment                  4 0.0639 0.01598   0.937  0.44815    
## Larval_stage:Bti_application            3 0.0815 0.02715   1.592  0.19942    
## Treatment:Bti_application               9 0.4046 0.04495   2.635  0.01117 *  
## Larval_stage:Treatment:Bti_application  9 0.1054 0.01171   0.687  0.71842    
## Residuals                              68 1.1600 0.01706                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Treatment_Bti_application_M)

aov_Larval_stage_Treatment_Bti_application_F <- aov(Percent_Ind_F ~ Larval_stage * Treatment * Bti_application, data = data[Day == 17])
summary(aov_Larval_stage_Treatment_Bti_application_F)
##                                        Df Sum Sq Mean Sq F value   Pr(>F)    
## Larval_stage                            1 0.2166 0.21657   8.062  0.00596 ** 
## Treatment                               4 0.4099 0.10247   3.815  0.00741 ** 
## Bti_application                         3 0.7122 0.23740   8.837 5.02e-05 ***
## Larval_stage:Treatment                  4 0.0345 0.00862   0.321  0.86309    
## Larval_stage:Bti_application            3 0.3055 0.10184   3.791  0.01415 *  
## Treatment:Bti_application               9 0.1964 0.02182   0.812  0.60670    
## Larval_stage:Treatment:Bti_application  9 0.0568 0.00631   0.235  0.98816    
## Residuals                              68 1.8267 0.02686                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Treatment_Bti_application_F)

3.2 Duration of emergence

# Treatment
aov_Treatment_Em <- aov(Emergence_all ~ Treatment, data = data[Day == 17 & Ind > 0])
summary(aov_Treatment_Em)
##             Df Sum Sq Mean Sq F value Pr(>F)
## Treatment    4   30.7   7.675   1.021  0.401
## Residuals   94  706.9   7.521
plot(aov_Treatment_Em)

aov_Treatment_EmM <- aov(Emergenz_M ~ Treatment, data = data[Day == 17 & M > 0])
summary(aov_Treatment_EmM)
##             Df Sum Sq Mean Sq F value Pr(>F)
## Treatment    4   17.6   4.388   1.021  0.401
## Residuals   92  395.5   4.298
plot(aov_Treatment_EmM) 

aov_Treatment_EmF <- aov(Emergenz_F ~ Treatment, data = data[Day == 17 & F > 0])
summary(aov_Treatment_EmF)
##             Df Sum Sq Mean Sq F value Pr(>F)
## Treatment    4   35.6   8.900   1.393  0.242
## Residuals   93  594.1   6.388
plot(aov_Treatment_EmF)

#Time (Bti_application)
aov_Bti_application_Em <- aov(Emergence_all ~ Bti_application, data = data[Day == 17 & Ind > 0])
summary(aov_Bti_application_Em)
##                 Df Sum Sq Mean Sq F value  Pr(>F)   
## Bti_application  4  104.3  26.068   3.869 0.00592 **
## Residuals       94  633.4   6.738                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Bti_application_Em)

TukeyHSD(aov_Bti_application_Em)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Emergence_all ~ Bti_application, data = data[Day == 17 & Ind > 0])
## 
## $Bti_application
##                 diff         lwr      upr     p adj
## d0-none  -1.64285714 -4.98502476 1.699310 0.6499779
## d05-none  0.04166667 -3.25375505 3.337088 0.9999996
## d10-none  0.50000000 -2.79542171 3.795422 0.9932655
## d15-none  1.33333333 -1.96208838 4.628755 0.7927545
## d05-d0    1.68452381 -0.47283611 3.841884 0.1994975
## d10-d0    2.14285714 -0.01450278 4.300217 0.0524579
## d15-d0    2.97619048  0.81883056 5.133550 0.0020587
## d10-d05   0.45833333 -1.62587436 2.542541 0.9729225
## d15-d05   1.29166667 -0.79254103 3.375874 0.4245593
## d15-d10   0.83333333 -1.25087436 2.917541 0.7997881
aov_Bti_application_EmM <- aov(Emergenz_M ~ Bti_application, data = data[Day == 17 & M > 0])
summary(aov_Bti_application_EmM)
##                 Df Sum Sq Mean Sq F value Pr(>F)  
## Bti_application  4   39.1   9.787   2.408 0.0549 .
## Residuals       92  373.9   4.064                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Bti_application_EmM) 

TukeyHSD(aov_Bti_application_EmM)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Emergenz_M ~ Bti_application, data = data[Day == 17 & M > 0])
## 
## $Bti_application
##                diff         lwr      upr     p adj
## d0-none  -0.9473684 -3.57421176 1.679475 0.8531119
## d05-none  0.2083333 -2.35199685 2.768664 0.9994066
## d10-none  0.6250000 -1.93533018 3.185330 0.9604571
## d15-none  0.8333333 -1.72699685 3.393664 0.8940389
## d05-d0    1.1557018 -0.56683462 2.878238 0.3424397
## d10-d0    1.5723684 -0.15016795 3.294905 0.0907048
## d15-d0    1.7807018  0.05816538 3.503238 0.0391064
## d10-d05   0.4166667 -1.20262832 2.035962 0.9523348
## d15-d05   0.6250000 -0.99429499 2.244295 0.8193779
## d15-d10   0.2083333 -1.41096166 1.827628 0.9964263
aov_Bti_application_EmF <- aov(Emergenz_F ~ Bti_application, data = data[Day == 17 & F > 0])
summary(aov_Bti_application_EmF)
##                 Df Sum Sq Mean Sq F value Pr(>F)  
## Bti_application  4   60.2  15.041   2.456  0.051 .
## Residuals       93  569.5   6.124                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Bti_application_EmF)

TukeyHSD(aov_Bti_application_EmF)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Emergenz_F ~ Bti_application, data = data[Day == 17 & F > 0])
## 
## $Bti_application
##                diff        lwr      upr     p adj
## d0-none  -1.6666667 -4.8535479 1.520215 0.5940692
## d05-none -0.3478261 -3.5037660 2.808114 0.9980456
## d10-none -0.5000000 -3.6423072 2.642307 0.9919149
## d15-none  0.6250000 -2.5173072 3.767307 0.9812700
## d05-d0    1.3188406 -0.7590470 3.396728 0.3996671
## d10-d0    1.1666667 -0.8904563 3.223790 0.5152979
## d15-d0    2.2916667  0.2345437 4.348790 0.0211152
## d10-d05  -0.1521739 -2.1610292 1.856681 0.9995533
## d15-d05   0.9728261 -1.0360292 2.981681 0.6625555
## d15-d10   1.1250000 -0.8623696 3.112370 0.5171756
#Larval_stage
aov_Larval_stage_Em <- aov(Emergence_all ~ Larval_stage, data = data[Day == 17 & Ind > 0])
summary(aov_Larval_stage_Em)
##              Df Sum Sq Mean Sq F value   Pr(>F)    
## Larval_stage  1  109.7  109.74   16.95 8.06e-05 ***
## Residuals    97  627.9    6.47                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Em)

TukeyHSD(aov_Larval_stage_Em)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Emergence_all ~ Larval_stage, data = data[Day == 17 & Ind > 0])
## 
## $Larval_stage
##           diff      lwr      upr    p adj
## Lx-L1 2.106618 1.091137 3.122098 8.06e-05
aov_Larval_stage_EmM <- aov(Emergenz_M ~ Larval_stage, data = data[Day == 17 & M > 0])
summary(aov_Larval_stage_EmM)
##              Df Sum Sq Mean Sq F value Pr(>F)
## Larval_stage  1    7.5   7.461   1.748  0.189
## Residuals    95  405.5   4.269
plot(aov_Larval_stage_EmM) 

TukeyHSD(aov_Larval_stage_EmM )
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Emergenz_M ~ Larval_stage, data = data[Day == 17 & M > 0])
## 
## $Larval_stage
##            diff        lwr      upr     p adj
## Lx-L1 0.5554135 -0.2786467 1.389474 0.1893395
aov_Larval_stage_EmF <- aov(Emergenz_F ~ Larval_stage, data = data[Day == 17 & F > 0])
summary(aov_Larval_stage_EmF)
##              Df Sum Sq Mean Sq F value   Pr(>F)    
## Larval_stage  1  118.4  118.41   22.23 8.18e-06 ***
## Residuals    96  511.3    5.33                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_EmF)

TukeyHSD(aov_Larval_stage_EmF)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Emergenz_F ~ Larval_stage, data = data[Day == 17 & F > 0])
## 
## $Larval_stage
##          diff      lwr      upr   p adj
## Lx-L1 2.20025 1.274011 3.126489 8.2e-06
#Treatment x Bti_application
aov_Treatment_appl_Em <- aov(Emergence_all ~ Treatment * Bti_application, data = data[Day == 17 & Ind > 0])
summary(aov_Treatment_appl_Em)
##                           Df Sum Sq Mean Sq F value  Pr(>F)   
## Treatment                  4   30.7    7.68   1.136 0.34553   
## Bti_application            3   98.8   32.95   4.875 0.00361 **
## Treatment:Bti_application  9   53.9    5.99   0.887 0.54083   
## Residuals                 82  554.2    6.76                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Treatment_appl_Em)

aov_Treatment_appl_EmM <- aov(Emergenz_M ~ Treatment * Bti_application, data = data[Day == 17 & M > 0])
summary(aov_Treatment_appl_EmM)
##                           Df Sum Sq Mean Sq F value Pr(>F)  
## Treatment                  4   17.6   4.388   1.091 0.3666  
## Bti_application            3   39.7  13.243   3.293 0.0247 *
## Treatment:Bti_application  9   34.1   3.785   0.941 0.4946  
## Residuals                 80  321.7   4.021                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Treatment_appl_EmM)

aov_Treatment_appl_EmF <- aov(Emergenz_F ~ Treatment * Bti_application, data = data[Day == 17 & F > 0])
summary(aov_Treatment_appl_EmF)
##                           Df Sum Sq Mean Sq F value Pr(>F)  
## Treatment                  4   35.6   8.900   1.410 0.2382  
## Bti_application            3   53.6  17.868   2.830 0.0435 *
## Treatment:Bti_application  9   29.1   3.234   0.512 0.8617  
## Residuals                 81  511.4   6.313                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Treatment_appl_EmF)

#Larval_stage x Bti_application
aov_Larval_stage_appl_Em <- aov(Emergence_all ~ Larval_stage * Bti_application, data = data[Day == 17 & Ind > 0])
summary(aov_Larval_stage_appl_Em)
##                              Df Sum Sq Mean Sq F value   Pr(>F)    
## Larval_stage                  1  109.7  109.74  20.114 2.17e-05 ***
## Bti_application               4  116.0   29.00   5.316 0.000693 ***
## Larval_stage:Bti_application  4   26.3    6.58   1.206 0.313766    
## Residuals                    89  485.6    5.46                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_appl_Em) 

aov_Larval_stage_appl_EmM <- aov(Emergenz_M ~ Larval_stage * Bti_application, data = data[Day == 17 & M > 0])
summary(aov_Larval_stage_appl_EmM)
##                              Df Sum Sq Mean Sq F value Pr(>F)  
## Larval_stage                  1    7.5   7.461   1.829 0.1798  
## Bti_application               4   42.9  10.721   2.628 0.0398 *
## Larval_stage:Bti_application  4    7.7   1.934   0.474 0.7547  
## Residuals                    87  354.9   4.080                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_appl_EmM) 

aov_Larval_stage_appl_EmF <- aov(Emergenz_F ~ Larval_stage * Bti_application, data = data[Day == 17 & F > 0])
summary(aov_Larval_stage_appl_EmF)
##                              Df Sum Sq Mean Sq F value   Pr(>F)    
## Larval_stage                  1  118.4  118.41  25.443 2.43e-06 ***
## Bti_application               4   68.9   17.22   3.700  0.00785 ** 
## Larval_stage:Bti_application  4   32.8    8.21   1.764  0.14328    
## Residuals                    88  409.5    4.65                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_appl_EmF)

#Larval_stage x Treatment
aov_Larval_stage_Treatment_Em <- aov(Emergence_all ~ Larval_stage * Treatment, data = data[Day == 17 & Ind > 0])
summary(aov_Larval_stage_Treatment_Em)
##                        Df Sum Sq Mean Sq F value   Pr(>F)    
## Larval_stage            1  109.7  109.74  17.016 8.32e-05 ***
## Treatment               4   27.1    6.78   1.051    0.386    
## Larval_stage:Treatment  4   26.8    6.71   1.040    0.391    
## Residuals              89  574.0    6.45                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Treatment_Em)

aov_Larval_stage_Treatment_EmM <- aov(Emergenz_M ~ Larval_stage * Treatment, data = data[Day == 17 & M > 0])
summary(aov_Larval_stage_Treatment_EmM)
##                        Df Sum Sq Mean Sq F value Pr(>F)  
## Larval_stage            1    7.5   7.461   1.828 0.1798  
## Treatment               4   17.7   4.414   1.082 0.3706  
## Larval_stage:Treatment  4   32.9   8.224   2.015 0.0993 .
## Residuals              87  355.0   4.080                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Treatment_EmM) 

aov_Larval_stage_Treatment_EmF <- aov(Emergenz_F ~ Larval_stage * Treatment, data = data[Day == 17 & F > 0])
summary(aov_Larval_stage_Treatment_EmF)
##                        Df Sum Sq Mean Sq F value   Pr(>F)    
## Larval_stage            1  118.4  118.41  22.241 8.97e-06 ***
## Treatment               4   28.9    7.22   1.357    0.255    
## Larval_stage:Treatment  4   13.9    3.47   0.651    0.627    
## Residuals              88  468.5    5.32                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Treatment_EmF)

#Larval_stage x Treatment x Bti_application
aov_Larval_stage_Treatment_Bti_application_Em <- aov(Emergence_all ~ Larval_stage * Treatment * Bti_application, data = data[Day == 17 & Ind > 0])
summary(aov_Larval_stage_Treatment_Bti_application_Em)
##                                        Df Sum Sq Mean Sq F value  Pr(>F)    
## Larval_stage                            1  109.7  109.74  19.861 3.3e-05 ***
## Treatment                               4   27.1    6.78   1.226  0.3081    
## Bti_application                         3  111.4   37.15   6.723  0.0005 ***
## Larval_stage:Treatment                  4   17.1    4.28   0.774  0.5458    
## Larval_stage:Bti_application            3   18.5    6.17   1.116  0.3489    
## Treatment:Bti_application               9   61.8    6.86   1.242  0.2855    
## Larval_stage:Treatment:Bti_application  8   27.3    3.41   0.618  0.7597    
## Residuals                              66  364.7    5.53                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Treatment_Bti_application_Em)

aov_Larval_stage_Treatment_Bti_application_EmM <- aov(Emergenz_M ~ Larval_stage * Treatment * Bti_application, data = data[Day == 17 & M > 0])
summary(aov_Larval_stage_Treatment_Bti_application_EmM)
##                                        Df Sum Sq Mean Sq F value Pr(>F)  
## Larval_stage                            1   7.46   7.461   1.773 0.1877  
## Treatment                               4  17.65   4.414   1.049 0.3892  
## Bti_application                         3  43.92  14.639   3.479 0.0209 *
## Larval_stage:Treatment                  4  27.45   6.863   1.631 0.1774  
## Larval_stage:Bti_application            3   0.66   0.219   0.052 0.9842  
## Treatment:Bti_application               9  31.60   3.511   0.834 0.5873  
## Larval_stage:Treatment:Bti_application  8  14.94   1.867   0.444 0.8902  
## Residuals                              64 269.33   4.208                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Treatment_Bti_application_EmM) 
## Warning: not plotting observations with leverage one:
##   19

aov_Larval_stage_Treatment_Bti_application_EmF <- aov(Emergenz_F ~ Larval_stage * Treatment * Bti_application, data = data[Day == 17 & F > 0])
summary(aov_Larval_stage_Treatment_Bti_application_EmF)
##                                        Df Sum Sq Mean Sq F value   Pr(>F)    
## Larval_stage                            1 118.41  118.41  28.790 1.15e-06 ***
## Treatment                               4  28.89    7.22   1.756  0.14845    
## Bti_application                         3  62.62   20.87   5.075  0.00322 ** 
## Larval_stage:Treatment                  4   8.71    2.18   0.529  0.71449    
## Larval_stage:Bti_application            3  28.71    9.57   2.326  0.08284 .  
## Treatment:Bti_application               9  34.32    3.81   0.927  0.50770    
## Larval_stage:Treatment:Bti_application  8  80.68   10.08   2.452  0.02193 *  
## Residuals                              65 267.33    4.11                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Treatment_Bti_application_EmF)

TukeyHSD(aov_Larval_stage_Treatment_Bti_application_EmF)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Emergenz_F ~ Larval_stage * Treatment * Bti_application, data = data[Day == 17 & F > 0])
## 
## $Larval_stage
##          diff      lwr      upr   p adj
## Lx-L1 2.20025 1.381301 3.019199 1.2e-06
## 
## $Treatment
##                 diff       lwr       upr     p adj
## 05%-Ctrl -0.08333333 -2.680559 2.5138924 0.9999847
## 10%-Ctrl -0.79166667 -3.388892 1.8055591 0.9119579
## 25%-Ctrl -1.16666667 -3.763892 1.4305591 0.7160641
## 50%-Ctrl  0.22997497 -2.418686 2.8786359 0.9992011
## 10%-05%  -0.70833333 -2.350963 0.9342965 0.7456548
## 25%-05%  -1.08333333 -2.725963 0.5592965 0.3542697
## 50%-05%   0.31330830 -1.409496 2.0361130 0.9860620
## 25%-10%  -0.37500000 -2.017630 1.2676298 0.9677912
## 50%-10%   1.02164164 -0.701163 2.7444463 0.4631356
## 50%-25%   1.39664164 -0.326163 3.1194463 0.1664049
## 
## $Bti_application
##                 diff        lwr      upr     p adj
## d0-none  -1.27013521 -3.9042029 1.363932 0.6594436
## d05-none  0.08695652 -2.5215371 2.695450 0.9999822
## d10-none -0.04848251 -2.6457083 2.548743 0.9999982
## d15-none  1.07651749 -1.5207083 3.673743 0.7721652
## d05-d0    1.35709174 -0.3603543 3.074538 0.1864612
## d10-d0    1.22165270 -0.4786307 2.921936 0.2700656
## d15-d0    2.34665270  0.6463693 4.046936 0.0022787
## d10-d05  -0.13543903 -1.7958275 1.524949 0.9993756
## d15-d05   0.98956097 -0.6708275 2.649949 0.4580278
## d15-d10   1.12500000 -0.5176298 2.767630 0.3164478
## 
## $`Larval_stage:Treatment`
##                        diff         lwr         upr     p adj
## Lx:Ctrl-L1:Ctrl  3.24390612 -2.18060335  8.66841560 0.6297492
## L1:05%-L1:Ctrl   0.41666667 -3.87178462  4.70511795 0.9999993
## Lx:05%-L1:Ctrl   2.66057279 -1.62787849  6.94902407 0.5801370
## L1:10%-L1:Ctrl  -0.50000000 -4.78845128  3.78845128 0.9999966
## Lx:10%-L1:Ctrl   2.16057279 -2.12787849  6.44902407 0.8180377
## L1:25%-L1:Ctrl  -0.58333333 -4.87178462  3.70511795 0.9999869
## Lx:25%-L1:Ctrl   1.49390612 -2.79454516  5.78235741 0.9782650
## L1:50%-L1:Ctrl   1.40397423 -3.09379142  5.90173988 0.9897729
## Lx:50%-L1:Ctrl   2.51727228 -1.77117900  6.80572356 0.6538423
## L1:05%-Lx:Ctrl  -2.82723946 -7.11569074  1.46121183 0.4940282
## Lx:05%-Lx:Ctrl  -0.58333333 -4.87178462  3.70511795 0.9999869
## L1:10%-Lx:Ctrl  -3.74390612 -8.03235741  0.54454516 0.1386489
## Lx:10%-Lx:Ctrl  -1.08333333 -5.37178462  3.20511795 0.9978630
## L1:25%-Lx:Ctrl  -3.82723946 -8.11569074  0.46121183 0.1199694
## Lx:25%-Lx:Ctrl  -1.75000000 -6.03845128  2.53845128 0.9410411
## L1:50%-Lx:Ctrl  -1.83993189 -6.33769754  2.65783376 0.9401763
## Lx:50%-Lx:Ctrl  -0.72663384 -5.01508513  3.56181744 0.9999152
## Lx:05%-L1:05%    2.24390612 -0.46834862  4.95616086 0.1914361
## L1:10%-L1:05%   -0.91666667 -3.62892140  1.79558807 0.9822632
## Lx:10%-L1:05%    1.74390612 -0.96834862  4.45616086 0.5299434
## L1:25%-L1:05%   -1.00000000 -3.71225474  1.71225474 0.9685020
## Lx:25%-L1:05%    1.07723946 -1.63501528  3.78949419 0.9498785
## L1:50%-L1:05%    0.98730757 -2.04508541  4.01970055 0.9862654
## Lx:50%-L1:05%    2.10060561 -0.61164913  4.81286035 0.2690008
## L1:10%-Lx:05%   -3.16057279 -5.87282753 -0.44831805 0.0105583
## Lx:10%-Lx:05%   -0.50000000 -3.21225474  2.21225474 0.9998288
## L1:25%-Lx:05%   -3.24390612 -5.95616086 -0.53165138 0.0077232
## Lx:25%-Lx:05%   -1.16666667 -3.87892140  1.54558807 0.9199964
## L1:50%-Lx:05%   -1.25659855 -4.28899154  1.77579443 0.9354542
## Lx:50%-Lx:05%   -0.14330051 -2.85555525  2.56895423 1.0000000
## Lx:10%-L1:10%    2.66057279 -0.05168195  5.37282753 0.0588947
## L1:25%-L1:10%   -0.08333333 -2.79558807  2.62892140 1.0000000
## Lx:25%-L1:10%    1.99390612 -0.71834862  4.70616086 0.3382055
## L1:50%-L1:10%    1.90397423 -1.12841875  4.93636722 0.5634957
## Lx:50%-L1:10%    3.01727228  0.30501754  5.72952702 0.0177858
## L1:25%-Lx:10%   -2.74390612 -5.45616086 -0.03165138 0.0451517
## Lx:25%-Lx:10%   -0.66666667 -3.37892140  2.04558807 0.9982701
## L1:50%-Lx:10%   -0.75659855 -3.78899154  2.27579443 0.9980576
## Lx:50%-Lx:10%    0.35669949 -2.35555525  3.06895423 0.9999902
## Lx:25%-L1:25%    2.07723946 -0.63501528  4.78949419 0.2833473
## L1:50%-L1:25%    1.98730757 -1.04508541  5.01970055 0.5025995
## Lx:50%-L1:25%    3.10060561  0.38835087  5.81286035 0.0131670
## L1:50%-Lx:25%   -0.08993189 -3.12232487  2.94246109 1.0000000
## Lx:50%-Lx:25%    1.02336616 -1.68888858  3.73562089 0.9635156
## Lx:50%-L1:50%    1.11329804 -1.91909494  4.14569103 0.9693494
## 
## $`Larval_stage:Bti_application`
##                       diff        lwr       upr     p adj
## Lx:none-L1:none  2.2896775 -3.1348320 7.7141870 0.9281684
## L1:d0-L1:none   -1.8366769 -6.2657704 2.5924165 0.9351869
## Lx:d0-L1:none    1.4332702 -2.8551811 5.7217215 0.9835611
## L1:d05-L1:none   0.9547805 -3.3724811 5.2820421 0.9992607
## Lx:d05-L1:none   1.5774026 -2.7110487 5.8658539 0.9689768
## L1:d10-L1:none  -0.5779564 -4.8664077 3.7104949 0.9999879
## Lx:d10-L1:none   2.7706689 -1.5177824 7.0591202 0.5230694
## L1:d15-L1:none   1.2553769 -3.0330743 5.5438282 0.9935500
## Lx:d15-L1:none   3.1873356 -1.1011157 7.4757868 0.3232195
## L1:d0-Lx:none   -4.1263544 -8.5554479 0.3027390 0.0884465
## Lx:d0-Lx:none   -0.8564073 -5.1448586 3.4320439 0.9996696
## L1:d05-Lx:none  -1.3348971 -5.6621586 2.9923645 0.9905943
## Lx:d05-Lx:none  -0.7122749 -5.0007262 3.5761764 0.9999283
## L1:d10-Lx:none  -2.8676339 -7.1560852 1.4208174 0.4735186
## Lx:d10-Lx:none   0.4809914 -3.8074599 4.7694427 0.9999975
## L1:d15-Lx:none  -1.0343006 -5.3227519 3.2541507 0.9985072
## Lx:d15-Lx:none   0.8976580 -3.3907932 5.1861093 0.9995158
## Lx:d0-L1:d0      3.2699471  0.3403772 6.1995170 0.0171554
## L1:d05-L1:d0     2.7914574 -0.1946368 5.7775516 0.0862285
## Lx:d05-L1:d0     3.4140795  0.4845096 6.3436495 0.0105485
## L1:d10-L1:d0     1.2587205 -1.6708494 4.1882905 0.9205063
## Lx:d10-L1:d0     4.6073458  1.6777759 7.5369158 0.0001080
## L1:d15-L1:d0     3.0920539  0.1624839 6.0216238 0.0304490
## Lx:d15-L1:d0     5.0240125  2.0944425 7.9535824 0.0000185
## L1:d05-Lx:d0    -0.4784897 -3.2517016 2.2947222 0.9999013
## Lx:d05-Lx:d0     0.1441324 -2.5681223 2.8563872 1.0000000
## L1:d10-Lx:d0    -2.0112266 -4.7234813 0.7010282 0.3263447
## Lx:d10-Lx:d0     1.3373987 -1.3748560 4.0496535 0.8358293
## L1:d15-Lx:d0    -0.1778932 -2.8901480 2.5343615 1.0000000
## Lx:d15-Lx:d0     1.7540654 -0.9581894 4.4663201 0.5216499
## Lx:d05-L1:d05    0.6226222 -2.1505897 3.3958340 0.9991508
## L1:d10-L1:d05   -1.5327369 -4.3059488 1.2404750 0.7261796
## Lx:d10-L1:d05    1.8158884 -0.9573235 4.5891003 0.5038374
## L1:d15-L1:d05    0.3005965 -2.4726154 3.0738084 0.9999982
## Lx:d15-L1:d05    2.2325551 -0.5406568 5.0057670 0.2219421
## L1:d10-Lx:d05   -2.1553590 -4.8676138 0.5568957 0.2372353
## Lx:d10-Lx:d05    1.1932663 -1.5189885 3.9055210 0.9092472
## L1:d15-Lx:d05   -0.3220257 -3.0342804 2.3902291 0.9999960
## Lx:d15-Lx:d05    1.6099329 -1.1023218 4.3221877 0.6394731
## Lx:d10-L1:d10    3.3486253  0.6363706 6.0608800 0.0051662
## L1:d15-L1:d10    1.8333333 -0.8789214 4.5455881 0.4578830
## Lx:d15-L1:d10    3.7652920  1.0530372 6.4775467 0.0009542
## L1:d15-Lx:d10   -1.5152920 -4.2275467 1.1969628 0.7139133
## Lx:d15-Lx:d10    0.4166667 -2.2955881 3.1289214 0.9999629
## Lx:d15-L1:d15    1.9319586 -0.7802961 4.6442134 0.3824434
## 
## $`Treatment:Bti_application`
##                             diff         lwr      upr     p adj
## 05%:none-Ctrl:none            NA          NA       NA        NA
## 10%:none-Ctrl:none            NA          NA       NA        NA
## 25%:none-Ctrl:none            NA          NA       NA        NA
## 50%:none-Ctrl:none            NA          NA       NA        NA
## Ctrl:d0-Ctrl:none             NA          NA       NA        NA
## 05%:d0-Ctrl:none   -1.521531e-01 -4.62516972 4.320864 1.0000000
## 10%:d0-Ctrl:none   -2.152153e+00 -6.62516972 2.320864 0.9756561
## 25%:d0-Ctrl:none   -2.985486e+00 -7.45850306 1.487530 0.6547972
## 50%:d0-Ctrl:none   -2.187207e+00 -7.66551069 3.291098 0.9976182
## Ctrl:d05-Ctrl:none            NA          NA       NA        NA
## 05%:d05-Ctrl:none  -2.107131e-01 -4.68372972 4.262304 1.0000000
## 10%:d05-Ctrl:none  -5.440464e-01 -5.01706305 3.928970 1.0000000
## 25%:d05-Ctrl:none  -1.044046e+00 -5.51706305 3.428970 0.9999998
## 50%:d05-Ctrl:none   3.385421e-01 -4.35279727 5.029882 1.0000000
## Ctrl:d10-Ctrl:none            NA          NA       NA        NA
## 05%:d10-Ctrl:none  -1.519002e-01 -4.62491685 4.321116 1.0000000
## 10%:d10-Ctrl:none  -3.185669e-01 -4.79158352 4.154450 1.0000000
## 25%:d10-Ctrl:none  -8.185669e-01 -5.29158352 3.654450 1.0000000
## 50%:d10-Ctrl:none  -7.109660e-01 -5.18398259 3.762051 1.0000000
## Ctrl:d15-Ctrl:none            NA          NA       NA        NA
## 05%:d15-Ctrl:none   1.814331e-01 -4.29158352 4.654450 1.0000000
## 10%:d15-Ctrl:none  -1.519002e-01 -4.62491685 4.321116 1.0000000
## 25%:d15-Ctrl:none   1.814331e-01 -4.29158352 4.654450 1.0000000
## 50%:d15-Ctrl:none   2.289034e+00 -2.18398259 6.762051 0.9537198
## 10%:none-05%:none             NA          NA       NA        NA
## 25%:none-05%:none             NA          NA       NA        NA
## 50%:none-05%:none             NA          NA       NA        NA
## Ctrl:d0-05%:none              NA          NA       NA        NA
## 05%:d0-05%:none               NA          NA       NA        NA
## 10%:d0-05%:none               NA          NA       NA        NA
## 25%:d0-05%:none               NA          NA       NA        NA
## 50%:d0-05%:none               NA          NA       NA        NA
## Ctrl:d05-05%:none             NA          NA       NA        NA
## 05%:d05-05%:none              NA          NA       NA        NA
## 10%:d05-05%:none              NA          NA       NA        NA
## 25%:d05-05%:none              NA          NA       NA        NA
## 50%:d05-05%:none              NA          NA       NA        NA
## Ctrl:d10-05%:none             NA          NA       NA        NA
## 05%:d10-05%:none              NA          NA       NA        NA
## 10%:d10-05%:none              NA          NA       NA        NA
## 25%:d10-05%:none              NA          NA       NA        NA
## 50%:d10-05%:none              NA          NA       NA        NA
## Ctrl:d15-05%:none             NA          NA       NA        NA
## 05%:d15-05%:none              NA          NA       NA        NA
## 10%:d15-05%:none              NA          NA       NA        NA
## 25%:d15-05%:none              NA          NA       NA        NA
## 50%:d15-05%:none              NA          NA       NA        NA
## 25%:none-10%:none             NA          NA       NA        NA
## 50%:none-10%:none             NA          NA       NA        NA
## Ctrl:d0-10%:none              NA          NA       NA        NA
## 05%:d0-10%:none               NA          NA       NA        NA
## 10%:d0-10%:none               NA          NA       NA        NA
## 25%:d0-10%:none               NA          NA       NA        NA
## 50%:d0-10%:none               NA          NA       NA        NA
## Ctrl:d05-10%:none             NA          NA       NA        NA
## 05%:d05-10%:none              NA          NA       NA        NA
## 10%:d05-10%:none              NA          NA       NA        NA
## 25%:d05-10%:none              NA          NA       NA        NA
## 50%:d05-10%:none              NA          NA       NA        NA
## Ctrl:d10-10%:none             NA          NA       NA        NA
## 05%:d10-10%:none              NA          NA       NA        NA
## 10%:d10-10%:none              NA          NA       NA        NA
## 25%:d10-10%:none              NA          NA       NA        NA
## 50%:d10-10%:none              NA          NA       NA        NA
## Ctrl:d15-10%:none             NA          NA       NA        NA
## 05%:d15-10%:none              NA          NA       NA        NA
## 10%:d15-10%:none              NA          NA       NA        NA
## 25%:d15-10%:none              NA          NA       NA        NA
## 50%:d15-10%:none              NA          NA       NA        NA
## 50%:none-25%:none             NA          NA       NA        NA
## Ctrl:d0-25%:none              NA          NA       NA        NA
## 05%:d0-25%:none               NA          NA       NA        NA
## 10%:d0-25%:none               NA          NA       NA        NA
## 25%:d0-25%:none               NA          NA       NA        NA
## 50%:d0-25%:none               NA          NA       NA        NA
## Ctrl:d05-25%:none             NA          NA       NA        NA
## 05%:d05-25%:none              NA          NA       NA        NA
## 10%:d05-25%:none              NA          NA       NA        NA
## 25%:d05-25%:none              NA          NA       NA        NA
## 50%:d05-25%:none              NA          NA       NA        NA
## Ctrl:d10-25%:none             NA          NA       NA        NA
## 05%:d10-25%:none              NA          NA       NA        NA
## 10%:d10-25%:none              NA          NA       NA        NA
## 25%:d10-25%:none              NA          NA       NA        NA
## 50%:d10-25%:none              NA          NA       NA        NA
## Ctrl:d15-25%:none             NA          NA       NA        NA
## 05%:d15-25%:none              NA          NA       NA        NA
## 10%:d15-25%:none              NA          NA       NA        NA
## 25%:d15-25%:none              NA          NA       NA        NA
## 50%:d15-25%:none              NA          NA       NA        NA
## Ctrl:d0-50%:none              NA          NA       NA        NA
## 05%:d0-50%:none               NA          NA       NA        NA
## 10%:d0-50%:none               NA          NA       NA        NA
## 25%:d0-50%:none               NA          NA       NA        NA
## 50%:d0-50%:none               NA          NA       NA        NA
## Ctrl:d05-50%:none             NA          NA       NA        NA
## 05%:d05-50%:none              NA          NA       NA        NA
## 10%:d05-50%:none              NA          NA       NA        NA
## 25%:d05-50%:none              NA          NA       NA        NA
## 50%:d05-50%:none              NA          NA       NA        NA
## Ctrl:d10-50%:none             NA          NA       NA        NA
## 05%:d10-50%:none              NA          NA       NA        NA
## 10%:d10-50%:none              NA          NA       NA        NA
## 25%:d10-50%:none              NA          NA       NA        NA
## 50%:d10-50%:none              NA          NA       NA        NA
## Ctrl:d15-50%:none             NA          NA       NA        NA
## 05%:d15-50%:none              NA          NA       NA        NA
## 10%:d15-50%:none              NA          NA       NA        NA
## 25%:d15-50%:none              NA          NA       NA        NA
## 50%:d15-50%:none              NA          NA       NA        NA
## 05%:d0-Ctrl:d0                NA          NA       NA        NA
## 10%:d0-Ctrl:d0                NA          NA       NA        NA
## 25%:d0-Ctrl:d0                NA          NA       NA        NA
## 50%:d0-Ctrl:d0                NA          NA       NA        NA
## Ctrl:d05-Ctrl:d0              NA          NA       NA        NA
## 05%:d05-Ctrl:d0               NA          NA       NA        NA
## 10%:d05-Ctrl:d0               NA          NA       NA        NA
## 25%:d05-Ctrl:d0               NA          NA       NA        NA
## 50%:d05-Ctrl:d0               NA          NA       NA        NA
## Ctrl:d10-Ctrl:d0              NA          NA       NA        NA
## 05%:d10-Ctrl:d0               NA          NA       NA        NA
## 10%:d10-Ctrl:d0               NA          NA       NA        NA
## 25%:d10-Ctrl:d0               NA          NA       NA        NA
## 50%:d10-Ctrl:d0               NA          NA       NA        NA
## Ctrl:d15-Ctrl:d0              NA          NA       NA        NA
## 05%:d15-Ctrl:d0               NA          NA       NA        NA
## 10%:d15-Ctrl:d0               NA          NA       NA        NA
## 25%:d15-Ctrl:d0               NA          NA       NA        NA
## 50%:d15-Ctrl:d0               NA          NA       NA        NA
## 10%:d0-05%:d0      -2.000000e+00 -6.47301662 2.473017 0.9895651
## 25%:d0-05%:d0      -2.833333e+00 -7.30634995 1.639683 0.7438927
## 50%:d0-05%:d0      -2.035053e+00 -7.51335759 3.443251 0.9991584
## Ctrl:d05-05%:d0               NA          NA       NA        NA
## 05%:d05-05%:d0     -5.856000e-02 -4.53157662 4.414457 1.0000000
## 10%:d05-05%:d0     -3.918933e-01 -4.86490995 4.081123 1.0000000
## 25%:d05-05%:d0     -8.918933e-01 -5.36490995 3.581123 1.0000000
## 50%:d05-05%:d0      4.906952e-01 -4.20064417 5.182035 1.0000000
## Ctrl:d10-05%:d0               NA          NA       NA        NA
## 05%:d10-05%:d0      2.528737e-04 -4.47276374 4.473269 1.0000000
## 10%:d10-05%:d0     -1.664138e-01 -4.63943041 4.306603 1.0000000
## 25%:d10-05%:d0     -6.664138e-01 -5.13943041 3.806603 1.0000000
## 50%:d10-05%:d0     -5.588129e-01 -5.03182949 3.914204 1.0000000
## Ctrl:d15-05%:d0               NA          NA       NA        NA
## 05%:d15-05%:d0      3.335862e-01 -4.13943041 4.806603 1.0000000
## 10%:d15-05%:d0      2.528737e-04 -4.47276374 4.473269 1.0000000
## 25%:d15-05%:d0      3.335862e-01 -4.13943041 4.806603 1.0000000
## 50%:d15-05%:d0      2.441187e+00 -2.03182949 6.914204 0.9156427
## 25%:d0-10%:d0      -8.333333e-01 -5.30634995 3.639683 1.0000000
## 50%:d0-10%:d0      -3.505343e-02 -5.51335759 5.443251 1.0000000
## Ctrl:d05-10%:d0               NA          NA       NA        NA
## 05%:d05-10%:d0      1.941440e+00 -2.53157662 6.414457 0.9927799
## 10%:d05-10%:d0      1.608107e+00 -2.86490995 6.081123 0.9994876
## 25%:d05-10%:d0      1.108107e+00 -3.36490995 5.581123 0.9999992
## 50%:d05-10%:d0      2.490695e+00 -2.20064417 7.182035 0.9341974
## Ctrl:d10-10%:d0               NA          NA       NA        NA
## 05%:d10-10%:d0      2.000253e+00 -2.47276374 6.473269 0.9895491
## 10%:d10-10%:d0      1.833586e+00 -2.63943041 6.306603 0.9965802
## 25%:d10-10%:d0      1.333586e+00 -3.13943041 5.806603 0.9999768
## 50%:d10-10%:d0      1.441187e+00 -3.03182949 5.914204 0.9999120
## Ctrl:d15-10%:d0               NA          NA       NA        NA
## 05%:d15-10%:d0      2.333586e+00 -2.13943041 6.806603 0.9441807
## 10%:d15-10%:d0      2.000253e+00 -2.47276374 6.473269 0.9895491
## 25%:d15-10%:d0      2.333586e+00 -2.13943041 6.806603 0.9441807
## 50%:d15-10%:d0      4.441187e+00 -0.03182949 8.914204 0.0539226
## 50%:d0-25%:d0       7.982799e-01 -4.68002426 6.276584 1.0000000
## Ctrl:d05-25%:d0               NA          NA       NA        NA
## 05%:d05-25%:d0      2.774773e+00 -1.69824328 7.247790 0.7756246
## 10%:d05-25%:d0      2.441440e+00 -2.03157662 6.914457 0.9155661
## 25%:d05-25%:d0      1.941440e+00 -2.53157662 6.414457 0.9927799
## 50%:d05-25%:d0      3.324029e+00 -1.36731083 8.015368 0.5407649
## Ctrl:d10-25%:d0               NA          NA       NA        NA
## 05%:d10-25%:d0      2.833586e+00 -1.63943041 7.306603 0.7437521
## 10%:d10-25%:d0      2.666920e+00 -1.80609708 7.139936 0.8290540
## 25%:d10-25%:d0      2.166920e+00 -2.30609708 6.639936 0.9737749
## 50%:d10-25%:d0      2.274520e+00 -2.19849616 6.747537 0.9565565
## Ctrl:d15-25%:d0               NA          NA       NA        NA
## 05%:d15-25%:d0      3.166920e+00 -1.30609708 7.639936 0.5422699
## 10%:d15-25%:d0      2.833586e+00 -1.63943041 7.306603 0.7437521
## 25%:d15-25%:d0      3.166920e+00 -1.30609708 7.639936 0.5422699
## 50%:d15-25%:d0      5.274520e+00  0.80150384 9.747537 0.0061204
## Ctrl:d05-50%:d0               NA          NA       NA        NA
## 05%:d05-50%:d0      1.976493e+00 -3.50181073 7.454798 0.9994590
## 10%:d05-50%:d0      1.643160e+00 -3.83514407 7.121464 0.9999742
## 25%:d05-50%:d0      1.143160e+00 -4.33514407 6.621464 1.0000000
## 50%:d05-50%:d0      2.525749e+00 -3.13221954 8.183717 0.9897677
## Ctrl:d10-50%:d0               NA          NA       NA        NA
## 05%:d10-50%:d0      2.035306e+00 -3.44299786 7.513610 0.9991568
## 10%:d10-50%:d0      1.868640e+00 -3.60966453 7.346944 0.9997758
## 25%:d10-50%:d0      1.368640e+00 -4.10966453 6.846944 0.9999991
## 50%:d10-50%:d0      1.476241e+00 -4.00206361 6.954545 0.9999963
## Ctrl:d15-50%:d0               NA          NA       NA        NA
## 05%:d15-50%:d0      2.368640e+00 -3.10966453 7.846944 0.9931231
## 10%:d15-50%:d0      2.035306e+00 -3.44299786 7.513610 0.9991568
## 25%:d15-50%:d0      2.368640e+00 -3.10966453 7.846944 0.9931231
## 50%:d15-50%:d0      4.476241e+00 -1.00206361 9.954545 0.2701835
## 05%:d05-Ctrl:d05              NA          NA       NA        NA
## 10%:d05-Ctrl:d05              NA          NA       NA        NA
## 25%:d05-Ctrl:d05              NA          NA       NA        NA
## 50%:d05-Ctrl:d05              NA          NA       NA        NA
## Ctrl:d10-Ctrl:d05             NA          NA       NA        NA
## 05%:d10-Ctrl:d05              NA          NA       NA        NA
## 10%:d10-Ctrl:d05              NA          NA       NA        NA
## 25%:d10-Ctrl:d05              NA          NA       NA        NA
## 50%:d10-Ctrl:d05              NA          NA       NA        NA
## Ctrl:d15-Ctrl:d05             NA          NA       NA        NA
## 05%:d15-Ctrl:d05              NA          NA       NA        NA
## 10%:d15-Ctrl:d05              NA          NA       NA        NA
## 25%:d15-Ctrl:d05              NA          NA       NA        NA
## 50%:d15-Ctrl:d05              NA          NA       NA        NA
## 10%:d05-05%:d05    -3.333333e-01 -4.80634995 4.139683 1.0000000
## 25%:d05-05%:d05    -8.333333e-01 -5.30634995 3.639683 1.0000000
## 50%:d05-05%:d05     5.492552e-01 -4.14208417 5.240595 1.0000000
## Ctrl:d10-05%:d05              NA          NA       NA        NA
## 05%:d10-05%:d05     5.881287e-02 -4.41420375 4.531829 1.0000000
## 10%:d10-05%:d05    -1.078538e-01 -4.58087041 4.365163 1.0000000
## 25%:d10-05%:d05    -6.078538e-01 -5.08087041 3.865163 1.0000000
## 50%:d10-05%:d05    -5.002529e-01 -4.97326949 3.972764 1.0000000
## Ctrl:d15-05%:d05              NA          NA       NA        NA
## 05%:d15-05%:d05     3.921462e-01 -4.08087041 4.865163 1.0000000
## 10%:d15-05%:d05     5.881287e-02 -4.41420375 4.531829 1.0000000
## 25%:d15-05%:d05     3.921462e-01 -4.08087041 4.865163 1.0000000
## 50%:d15-05%:d05     2.499747e+00 -1.97326949 6.972764 0.8966732
## 25%:d05-10%:d05    -5.000000e-01 -4.97301662 3.973017 1.0000000
## 50%:d05-10%:d05     8.825886e-01 -3.80875084 5.573928 1.0000000
## Ctrl:d10-10%:d05              NA          NA       NA        NA
## 05%:d10-10%:d05     3.921462e-01 -4.08087041 4.865163 1.0000000
## 10%:d10-10%:d05     2.254795e-01 -4.24753708 4.698496 1.0000000
## 25%:d10-10%:d05    -2.745205e-01 -4.74753708 4.198496 1.0000000
## 50%:d10-10%:d05    -1.669195e-01 -4.63993616 4.306097 1.0000000
## Ctrl:d15-10%:d05              NA          NA       NA        NA
## 05%:d15-10%:d05     7.254795e-01 -3.74753708 5.198496 1.0000000
## 10%:d15-10%:d05     3.921462e-01 -4.08087041 4.865163 1.0000000
## 25%:d15-10%:d05     7.254795e-01 -3.74753708 5.198496 1.0000000
## 50%:d15-10%:d05     2.833080e+00 -1.63993616 7.306097 0.7440334
## 50%:d05-25%:d05     1.382589e+00 -3.30875084 6.073928 0.9999811
## Ctrl:d10-25%:d05              NA          NA       NA        NA
## 05%:d10-25%:d05     8.921462e-01 -3.58087041 5.365163 1.0000000
## 10%:d10-25%:d05     7.254795e-01 -3.74753708 5.198496 1.0000000
## 25%:d10-25%:d05     2.254795e-01 -4.24753708 4.698496 1.0000000
## 50%:d10-25%:d05     3.330805e-01 -4.13993616 4.806097 1.0000000
## Ctrl:d15-25%:d05              NA          NA       NA        NA
## 05%:d15-25%:d05     1.225480e+00 -3.24753708 5.698496 0.9999950
## 10%:d15-25%:d05     8.921462e-01 -3.58087041 5.365163 1.0000000
## 25%:d15-25%:d05     1.225480e+00 -3.24753708 5.698496 0.9999950
## 50%:d15-25%:d05     3.333080e+00 -1.13993616 7.806097 0.4408384
## Ctrl:d10-50%:d05              NA          NA       NA        NA
## 05%:d10-50%:d05    -4.904424e-01 -5.18178177 4.200897 1.0000000
## 10%:d10-50%:d05    -6.571090e-01 -5.34844844 4.034230 1.0000000
## 25%:d10-50%:d05    -1.157109e+00 -5.84844844 3.534230 0.9999993
## 50%:d10-50%:d05    -1.049508e+00 -5.74084752 3.641831 0.9999999
## Ctrl:d15-50%:d05              NA          NA       NA        NA
## 05%:d15-50%:d05    -1.571090e-01 -4.84844844 4.534230 1.0000000
## 10%:d15-50%:d05    -4.904424e-01 -5.18178177 4.200897 1.0000000
## 25%:d15-50%:d05    -1.571090e-01 -4.84844844 4.534230 1.0000000
## 50%:d15-50%:d05     1.950492e+00 -2.74084752 6.641831 0.9958658
## 05%:d10-Ctrl:d10              NA          NA       NA        NA
## 10%:d10-Ctrl:d10              NA          NA       NA        NA
## 25%:d10-Ctrl:d10              NA          NA       NA        NA
## 50%:d10-Ctrl:d10              NA          NA       NA        NA
## Ctrl:d15-Ctrl:d10             NA          NA       NA        NA
## 05%:d15-Ctrl:d10              NA          NA       NA        NA
## 10%:d15-Ctrl:d10              NA          NA       NA        NA
## 25%:d15-Ctrl:d10              NA          NA       NA        NA
## 50%:d15-Ctrl:d10              NA          NA       NA        NA
## 10%:d10-05%:d10    -1.666667e-01 -4.63968329 4.306350 1.0000000
## 25%:d10-05%:d10    -6.666667e-01 -5.13968329 3.806350 1.0000000
## 50%:d10-05%:d10    -5.590657e-01 -5.03208236 3.913951 1.0000000
## Ctrl:d15-05%:d10              NA          NA       NA        NA
## 05%:d15-05%:d10     3.333333e-01 -4.13968329 4.806350 1.0000000
## 10%:d15-05%:d10    -1.776357e-15 -4.47301662 4.473017 1.0000000
## 25%:d15-05%:d10     3.333333e-01 -4.13968329 4.806350 1.0000000
## 50%:d15-05%:d10     2.440934e+00 -2.03208236 6.913951 0.9157193
## 25%:d10-10%:d10    -5.000000e-01 -4.97301662 3.973017 1.0000000
## 50%:d10-10%:d10    -3.923991e-01 -4.86541570 4.080618 1.0000000
## Ctrl:d15-10%:d10              NA          NA       NA        NA
## 05%:d15-10%:d10     5.000000e-01 -3.97301662 4.973017 1.0000000
## 10%:d15-10%:d10     1.666667e-01 -4.30634995 4.639683 1.0000000
## 25%:d15-10%:d10     5.000000e-01 -3.97301662 4.973017 1.0000000
## 50%:d15-10%:d10     2.607601e+00 -1.86541570 7.080618 0.8552825
## 50%:d10-25%:d10     1.076009e-01 -4.36541570 4.580618 1.0000000
## Ctrl:d15-25%:d10              NA          NA       NA        NA
## 05%:d15-25%:d10     1.000000e+00 -3.47301662 5.473017 0.9999999
## 10%:d15-25%:d10     6.666667e-01 -3.80634995 5.139683 1.0000000
## 25%:d15-25%:d10     1.000000e+00 -3.47301662 5.473017 0.9999999
## 50%:d15-25%:d10     3.107601e+00 -1.36541570 7.580618 0.5792720
## Ctrl:d15-50%:d10              NA          NA       NA        NA
## 05%:d15-50%:d10     8.923991e-01 -3.58061754 5.365416 1.0000000
## 10%:d15-50%:d10     5.590657e-01 -3.91395087 5.032082 1.0000000
## 25%:d15-50%:d10     8.923991e-01 -3.58061754 5.365416 1.0000000
## 50%:d15-50%:d10     3.000000e+00 -1.47301662 7.473017 0.6459374
## 05%:d15-Ctrl:d15              NA          NA       NA        NA
## 10%:d15-Ctrl:d15              NA          NA       NA        NA
## 25%:d15-Ctrl:d15              NA          NA       NA        NA
## 50%:d15-Ctrl:d15              NA          NA       NA        NA
## 10%:d15-05%:d15    -3.333333e-01 -4.80634995 4.139683 1.0000000
## 25%:d15-05%:d15    -5.329071e-15 -4.47301662 4.473017 1.0000000
## 50%:d15-05%:d15     2.107601e+00 -2.36541570 6.580618 0.9807082
## 25%:d15-10%:d15     3.333333e-01 -4.13968329 4.806350 1.0000000
## 50%:d15-10%:d15     2.440934e+00 -2.03208236 6.913951 0.9157193
## 50%:d15-25%:d15     2.107601e+00 -2.36541570 6.580618 0.9807082
## 
## $`Larval_stage:Treatment:Bti_application`
##                                    diff          lwr        upr     p adj
## Lx:Ctrl:none-L1:Ctrl:none  3.333333e+00  -3.61429133 10.2809580 0.9966607
## L1:05%:none-L1:Ctrl:none             NA           NA         NA        NA
## Lx:05%:none-L1:Ctrl:none             NA           NA         NA        NA
## L1:10%:none-L1:Ctrl:none             NA           NA         NA        NA
## Lx:10%:none-L1:Ctrl:none             NA           NA         NA        NA
## L1:25%:none-L1:Ctrl:none             NA           NA         NA        NA
## Lx:25%:none-L1:Ctrl:none             NA           NA         NA        NA
## L1:50%:none-L1:Ctrl:none             NA           NA         NA        NA
## Lx:50%:none-L1:Ctrl:none             NA           NA         NA        NA
## L1:Ctrl:d0-L1:Ctrl:none              NA           NA         NA        NA
## Lx:Ctrl:d0-L1:Ctrl:none              NA           NA         NA        NA
## L1:05%:d0-L1:Ctrl:none    -3.333333e-01  -7.28095800  6.6142913 1.0000000
## Lx:05%:d0-L1:Ctrl:none     3.333333e+00  -3.61429133 10.2809580 0.9966607
## L1:10%:d0-L1:Ctrl:none    -2.333333e+00  -9.28095800  4.6142913 0.9999993
## Lx:10%:d0-L1:Ctrl:none     1.333333e+00  -5.61429133  8.2809580 1.0000000
## L1:25%:d0-L1:Ctrl:none    -3.333333e+00 -10.28095800  3.6142913 0.9966607
## Lx:25%:d0-L1:Ctrl:none     6.666667e-01  -6.28095800  7.6142913 1.0000000
## L1:50%:d0-L1:Ctrl:none               NA           NA         NA        NA
## Lx:50%:d0-L1:Ctrl:none     6.666667e-01  -6.28095800  7.6142913 1.0000000
## L1:Ctrl:d05-L1:Ctrl:none             NA           NA         NA        NA
## Lx:Ctrl:d05-L1:Ctrl:none             NA           NA         NA        NA
## L1:05%:d05-L1:Ctrl:none    7.105427e-15  -6.94762466  6.9476247 1.0000000
## Lx:05%:d05-L1:Ctrl:none    3.000000e+00  -3.94762466  9.9476247 0.9995830
## L1:10%:d05-L1:Ctrl:none    5.329071e-15  -6.94762466  6.9476247 1.0000000
## Lx:10%:d05-L1:Ctrl:none    2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:25%:d05-L1:Ctrl:none    5.329071e-15  -6.94762466  6.9476247 1.0000000
## Lx:25%:d05-L1:Ctrl:none    1.333333e+00  -5.61429133  8.2809580 1.0000000
## L1:50%:d05-L1:Ctrl:none    5.666667e+00  -2.10101385 13.4343472 0.5818083
## Lx:50%:d05-L1:Ctrl:none   -3.333333e-01  -7.28095800  6.6142913 1.0000000
## L1:Ctrl:d10-L1:Ctrl:none             NA           NA         NA        NA
## Lx:Ctrl:d10-L1:Ctrl:none             NA           NA         NA        NA
## L1:05%:d10-L1:Ctrl:none    6.666667e-01  -6.28095800  7.6142913 1.0000000
## Lx:05%:d10-L1:Ctrl:none    2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:10%:d10-L1:Ctrl:none   -3.333333e-01  -7.28095800  6.6142913 1.0000000
## Lx:10%:d10-L1:Ctrl:none    3.000000e+00  -3.94762466  9.9476247 0.9995830
## L1:25%:d10-L1:Ctrl:none   -3.333333e-01  -7.28095800  6.6142913 1.0000000
## Lx:25%:d10-L1:Ctrl:none    2.000000e+00  -4.94762466  8.9476247 1.0000000
## L1:50%:d10-L1:Ctrl:none   -1.666667e+00  -8.61429133  5.2809580 1.0000000
## Lx:50%:d10-L1:Ctrl:none    3.666667e+00  -3.28095800 10.6142913 0.9838739
## L1:Ctrl:d15-L1:Ctrl:none             NA           NA         NA        NA
## Lx:Ctrl:d15-L1:Ctrl:none             NA           NA         NA        NA
## L1:05%:d15-L1:Ctrl:none    1.333333e+00  -5.61429133  8.2809580 1.0000000
## Lx:05%:d15-L1:Ctrl:none    2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:10%:d15-L1:Ctrl:none    6.666667e-01  -6.28095800  7.6142913 1.0000000
## Lx:10%:d15-L1:Ctrl:none    2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:25%:d15-L1:Ctrl:none    1.333333e+00  -5.61429133  8.2809580 1.0000000
## Lx:25%:d15-L1:Ctrl:none    2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:50%:d15-L1:Ctrl:none    2.333333e+00  -4.61429133  9.2809580 0.9999993
## Lx:50%:d15-L1:Ctrl:none    5.666667e+00  -1.28095800 12.6142913 0.3253849
## L1:05%:none-Lx:Ctrl:none             NA           NA         NA        NA
## Lx:05%:none-Lx:Ctrl:none             NA           NA         NA        NA
## L1:10%:none-Lx:Ctrl:none             NA           NA         NA        NA
## Lx:10%:none-Lx:Ctrl:none             NA           NA         NA        NA
## L1:25%:none-Lx:Ctrl:none             NA           NA         NA        NA
## Lx:25%:none-Lx:Ctrl:none             NA           NA         NA        NA
## L1:50%:none-Lx:Ctrl:none             NA           NA         NA        NA
## Lx:50%:none-Lx:Ctrl:none             NA           NA         NA        NA
## L1:Ctrl:d0-Lx:Ctrl:none              NA           NA         NA        NA
## Lx:Ctrl:d0-Lx:Ctrl:none              NA           NA         NA        NA
## L1:05%:d0-Lx:Ctrl:none    -3.666667e+00 -10.61429133  3.2809580 0.9838739
## Lx:05%:d0-Lx:Ctrl:none    -7.993606e-15  -6.94762466  6.9476247 1.0000000
## L1:10%:d0-Lx:Ctrl:none    -5.666667e+00 -12.61429133  1.2809580 0.3253849
## Lx:10%:d0-Lx:Ctrl:none    -2.000000e+00  -8.94762466  4.9476247 1.0000000
## L1:25%:d0-Lx:Ctrl:none    -6.666667e+00 -13.61429133  0.2809580 0.0800942
## Lx:25%:d0-Lx:Ctrl:none    -2.666667e+00  -9.61429133  4.2809580 0.9999731
## L1:50%:d0-Lx:Ctrl:none               NA           NA         NA        NA
## Lx:50%:d0-Lx:Ctrl:none    -2.666667e+00  -9.61429133  4.2809580 0.9999731
## L1:Ctrl:d05-Lx:Ctrl:none             NA           NA         NA        NA
## Lx:Ctrl:d05-Lx:Ctrl:none             NA           NA         NA        NA
## L1:05%:d05-Lx:Ctrl:none   -3.333333e+00 -10.28095800  3.6142913 0.9966607
## Lx:05%:d05-Lx:Ctrl:none   -3.333333e-01  -7.28095800  6.6142913 1.0000000
## L1:10%:d05-Lx:Ctrl:none   -3.333333e+00 -10.28095800  3.6142913 0.9966607
## Lx:10%:d05-Lx:Ctrl:none   -1.000000e+00  -7.94762466  5.9476247 1.0000000
## L1:25%:d05-Lx:Ctrl:none   -3.333333e+00 -10.28095800  3.6142913 0.9966607
## Lx:25%:d05-Lx:Ctrl:none   -2.000000e+00  -8.94762466  4.9476247 1.0000000
## L1:50%:d05-Lx:Ctrl:none    2.333333e+00  -5.43434718 10.1010138 1.0000000
## Lx:50%:d05-Lx:Ctrl:none   -3.666667e+00 -10.61429133  3.2809580 0.9838739
## L1:Ctrl:d10-Lx:Ctrl:none             NA           NA         NA        NA
## Lx:Ctrl:d10-Lx:Ctrl:none             NA           NA         NA        NA
## L1:05%:d10-Lx:Ctrl:none   -2.666667e+00  -9.61429133  4.2809580 0.9999731
## Lx:05%:d10-Lx:Ctrl:none   -1.000000e+00  -7.94762466  5.9476247 1.0000000
## L1:10%:d10-Lx:Ctrl:none   -3.666667e+00 -10.61429133  3.2809580 0.9838739
## Lx:10%:d10-Lx:Ctrl:none   -3.333333e-01  -7.28095800  6.6142913 1.0000000
## L1:25%:d10-Lx:Ctrl:none   -3.666667e+00 -10.61429133  3.2809580 0.9838739
## Lx:25%:d10-Lx:Ctrl:none   -1.333333e+00  -8.28095800  5.6142913 1.0000000
## L1:50%:d10-Lx:Ctrl:none   -5.000000e+00 -11.94762466  1.9476247 0.6130052
## Lx:50%:d10-Lx:Ctrl:none    3.333333e-01  -6.61429133  7.2809580 1.0000000
## L1:Ctrl:d15-Lx:Ctrl:none             NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:Ctrl:none             NA           NA         NA        NA
## L1:05%:d15-Lx:Ctrl:none   -2.000000e+00  -8.94762466  4.9476247 1.0000000
## Lx:05%:d15-Lx:Ctrl:none   -1.000000e+00  -7.94762466  5.9476247 1.0000000
## L1:10%:d15-Lx:Ctrl:none   -2.666667e+00  -9.61429133  4.2809580 0.9999731
## Lx:10%:d15-Lx:Ctrl:none   -1.000000e+00  -7.94762466  5.9476247 1.0000000
## L1:25%:d15-Lx:Ctrl:none   -2.000000e+00  -8.94762466  4.9476247 1.0000000
## Lx:25%:d15-Lx:Ctrl:none   -1.000000e+00  -7.94762466  5.9476247 1.0000000
## L1:50%:d15-Lx:Ctrl:none   -1.000000e+00  -7.94762466  5.9476247 1.0000000
## Lx:50%:d15-Lx:Ctrl:none    2.333333e+00  -4.61429133  9.2809580 0.9999993
## Lx:05%:none-L1:05%:none              NA           NA         NA        NA
## L1:10%:none-L1:05%:none              NA           NA         NA        NA
## Lx:10%:none-L1:05%:none              NA           NA         NA        NA
## L1:25%:none-L1:05%:none              NA           NA         NA        NA
## Lx:25%:none-L1:05%:none              NA           NA         NA        NA
## L1:50%:none-L1:05%:none              NA           NA         NA        NA
## Lx:50%:none-L1:05%:none              NA           NA         NA        NA
## L1:Ctrl:d0-L1:05%:none               NA           NA         NA        NA
## Lx:Ctrl:d0-L1:05%:none               NA           NA         NA        NA
## L1:05%:d0-L1:05%:none                NA           NA         NA        NA
## Lx:05%:d0-L1:05%:none                NA           NA         NA        NA
## L1:10%:d0-L1:05%:none                NA           NA         NA        NA
## Lx:10%:d0-L1:05%:none                NA           NA         NA        NA
## L1:25%:d0-L1:05%:none                NA           NA         NA        NA
## Lx:25%:d0-L1:05%:none                NA           NA         NA        NA
## L1:50%:d0-L1:05%:none                NA           NA         NA        NA
## Lx:50%:d0-L1:05%:none                NA           NA         NA        NA
## L1:Ctrl:d05-L1:05%:none              NA           NA         NA        NA
## Lx:Ctrl:d05-L1:05%:none              NA           NA         NA        NA
## L1:05%:d05-L1:05%:none               NA           NA         NA        NA
## Lx:05%:d05-L1:05%:none               NA           NA         NA        NA
## L1:10%:d05-L1:05%:none               NA           NA         NA        NA
## Lx:10%:d05-L1:05%:none               NA           NA         NA        NA
## L1:25%:d05-L1:05%:none               NA           NA         NA        NA
## Lx:25%:d05-L1:05%:none               NA           NA         NA        NA
## L1:50%:d05-L1:05%:none               NA           NA         NA        NA
## Lx:50%:d05-L1:05%:none               NA           NA         NA        NA
## L1:Ctrl:d10-L1:05%:none              NA           NA         NA        NA
## Lx:Ctrl:d10-L1:05%:none              NA           NA         NA        NA
## L1:05%:d10-L1:05%:none               NA           NA         NA        NA
## Lx:05%:d10-L1:05%:none               NA           NA         NA        NA
## L1:10%:d10-L1:05%:none               NA           NA         NA        NA
## Lx:10%:d10-L1:05%:none               NA           NA         NA        NA
## L1:25%:d10-L1:05%:none               NA           NA         NA        NA
## Lx:25%:d10-L1:05%:none               NA           NA         NA        NA
## L1:50%:d10-L1:05%:none               NA           NA         NA        NA
## Lx:50%:d10-L1:05%:none               NA           NA         NA        NA
## L1:Ctrl:d15-L1:05%:none              NA           NA         NA        NA
## Lx:Ctrl:d15-L1:05%:none              NA           NA         NA        NA
## L1:05%:d15-L1:05%:none               NA           NA         NA        NA
## Lx:05%:d15-L1:05%:none               NA           NA         NA        NA
## L1:10%:d15-L1:05%:none               NA           NA         NA        NA
## Lx:10%:d15-L1:05%:none               NA           NA         NA        NA
## L1:25%:d15-L1:05%:none               NA           NA         NA        NA
## Lx:25%:d15-L1:05%:none               NA           NA         NA        NA
## L1:50%:d15-L1:05%:none               NA           NA         NA        NA
## Lx:50%:d15-L1:05%:none               NA           NA         NA        NA
## L1:10%:none-Lx:05%:none              NA           NA         NA        NA
## Lx:10%:none-Lx:05%:none              NA           NA         NA        NA
## L1:25%:none-Lx:05%:none              NA           NA         NA        NA
## Lx:25%:none-Lx:05%:none              NA           NA         NA        NA
## L1:50%:none-Lx:05%:none              NA           NA         NA        NA
## Lx:50%:none-Lx:05%:none              NA           NA         NA        NA
## L1:Ctrl:d0-Lx:05%:none               NA           NA         NA        NA
## Lx:Ctrl:d0-Lx:05%:none               NA           NA         NA        NA
## L1:05%:d0-Lx:05%:none                NA           NA         NA        NA
## Lx:05%:d0-Lx:05%:none                NA           NA         NA        NA
## L1:10%:d0-Lx:05%:none                NA           NA         NA        NA
## Lx:10%:d0-Lx:05%:none                NA           NA         NA        NA
## L1:25%:d0-Lx:05%:none                NA           NA         NA        NA
## Lx:25%:d0-Lx:05%:none                NA           NA         NA        NA
## L1:50%:d0-Lx:05%:none                NA           NA         NA        NA
## Lx:50%:d0-Lx:05%:none                NA           NA         NA        NA
## L1:Ctrl:d05-Lx:05%:none              NA           NA         NA        NA
## Lx:Ctrl:d05-Lx:05%:none              NA           NA         NA        NA
## L1:05%:d05-Lx:05%:none               NA           NA         NA        NA
## Lx:05%:d05-Lx:05%:none               NA           NA         NA        NA
## L1:10%:d05-Lx:05%:none               NA           NA         NA        NA
## Lx:10%:d05-Lx:05%:none               NA           NA         NA        NA
## L1:25%:d05-Lx:05%:none               NA           NA         NA        NA
## Lx:25%:d05-Lx:05%:none               NA           NA         NA        NA
## L1:50%:d05-Lx:05%:none               NA           NA         NA        NA
## Lx:50%:d05-Lx:05%:none               NA           NA         NA        NA
## L1:Ctrl:d10-Lx:05%:none              NA           NA         NA        NA
## Lx:Ctrl:d10-Lx:05%:none              NA           NA         NA        NA
## L1:05%:d10-Lx:05%:none               NA           NA         NA        NA
## Lx:05%:d10-Lx:05%:none               NA           NA         NA        NA
## L1:10%:d10-Lx:05%:none               NA           NA         NA        NA
## Lx:10%:d10-Lx:05%:none               NA           NA         NA        NA
## L1:25%:d10-Lx:05%:none               NA           NA         NA        NA
## Lx:25%:d10-Lx:05%:none               NA           NA         NA        NA
## L1:50%:d10-Lx:05%:none               NA           NA         NA        NA
## Lx:50%:d10-Lx:05%:none               NA           NA         NA        NA
## L1:Ctrl:d15-Lx:05%:none              NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:05%:none              NA           NA         NA        NA
## L1:05%:d15-Lx:05%:none               NA           NA         NA        NA
## Lx:05%:d15-Lx:05%:none               NA           NA         NA        NA
## L1:10%:d15-Lx:05%:none               NA           NA         NA        NA
## Lx:10%:d15-Lx:05%:none               NA           NA         NA        NA
## L1:25%:d15-Lx:05%:none               NA           NA         NA        NA
## Lx:25%:d15-Lx:05%:none               NA           NA         NA        NA
## L1:50%:d15-Lx:05%:none               NA           NA         NA        NA
## Lx:50%:d15-Lx:05%:none               NA           NA         NA        NA
## Lx:10%:none-L1:10%:none              NA           NA         NA        NA
## L1:25%:none-L1:10%:none              NA           NA         NA        NA
## Lx:25%:none-L1:10%:none              NA           NA         NA        NA
## L1:50%:none-L1:10%:none              NA           NA         NA        NA
## Lx:50%:none-L1:10%:none              NA           NA         NA        NA
## L1:Ctrl:d0-L1:10%:none               NA           NA         NA        NA
## Lx:Ctrl:d0-L1:10%:none               NA           NA         NA        NA
## L1:05%:d0-L1:10%:none                NA           NA         NA        NA
## Lx:05%:d0-L1:10%:none                NA           NA         NA        NA
## L1:10%:d0-L1:10%:none                NA           NA         NA        NA
## Lx:10%:d0-L1:10%:none                NA           NA         NA        NA
## L1:25%:d0-L1:10%:none                NA           NA         NA        NA
## Lx:25%:d0-L1:10%:none                NA           NA         NA        NA
## L1:50%:d0-L1:10%:none                NA           NA         NA        NA
## Lx:50%:d0-L1:10%:none                NA           NA         NA        NA
## L1:Ctrl:d05-L1:10%:none              NA           NA         NA        NA
## Lx:Ctrl:d05-L1:10%:none              NA           NA         NA        NA
## L1:05%:d05-L1:10%:none               NA           NA         NA        NA
## Lx:05%:d05-L1:10%:none               NA           NA         NA        NA
## L1:10%:d05-L1:10%:none               NA           NA         NA        NA
## Lx:10%:d05-L1:10%:none               NA           NA         NA        NA
## L1:25%:d05-L1:10%:none               NA           NA         NA        NA
## Lx:25%:d05-L1:10%:none               NA           NA         NA        NA
## L1:50%:d05-L1:10%:none               NA           NA         NA        NA
## Lx:50%:d05-L1:10%:none               NA           NA         NA        NA
## L1:Ctrl:d10-L1:10%:none              NA           NA         NA        NA
## Lx:Ctrl:d10-L1:10%:none              NA           NA         NA        NA
## L1:05%:d10-L1:10%:none               NA           NA         NA        NA
## Lx:05%:d10-L1:10%:none               NA           NA         NA        NA
## L1:10%:d10-L1:10%:none               NA           NA         NA        NA
## Lx:10%:d10-L1:10%:none               NA           NA         NA        NA
## L1:25%:d10-L1:10%:none               NA           NA         NA        NA
## Lx:25%:d10-L1:10%:none               NA           NA         NA        NA
## L1:50%:d10-L1:10%:none               NA           NA         NA        NA
## Lx:50%:d10-L1:10%:none               NA           NA         NA        NA
## L1:Ctrl:d15-L1:10%:none              NA           NA         NA        NA
## Lx:Ctrl:d15-L1:10%:none              NA           NA         NA        NA
## L1:05%:d15-L1:10%:none               NA           NA         NA        NA
## Lx:05%:d15-L1:10%:none               NA           NA         NA        NA
## L1:10%:d15-L1:10%:none               NA           NA         NA        NA
## Lx:10%:d15-L1:10%:none               NA           NA         NA        NA
## L1:25%:d15-L1:10%:none               NA           NA         NA        NA
## Lx:25%:d15-L1:10%:none               NA           NA         NA        NA
## L1:50%:d15-L1:10%:none               NA           NA         NA        NA
## Lx:50%:d15-L1:10%:none               NA           NA         NA        NA
## L1:25%:none-Lx:10%:none              NA           NA         NA        NA
## Lx:25%:none-Lx:10%:none              NA           NA         NA        NA
## L1:50%:none-Lx:10%:none              NA           NA         NA        NA
## Lx:50%:none-Lx:10%:none              NA           NA         NA        NA
## L1:Ctrl:d0-Lx:10%:none               NA           NA         NA        NA
## Lx:Ctrl:d0-Lx:10%:none               NA           NA         NA        NA
## L1:05%:d0-Lx:10%:none                NA           NA         NA        NA
## Lx:05%:d0-Lx:10%:none                NA           NA         NA        NA
## L1:10%:d0-Lx:10%:none                NA           NA         NA        NA
## Lx:10%:d0-Lx:10%:none                NA           NA         NA        NA
## L1:25%:d0-Lx:10%:none                NA           NA         NA        NA
## Lx:25%:d0-Lx:10%:none                NA           NA         NA        NA
## L1:50%:d0-Lx:10%:none                NA           NA         NA        NA
## Lx:50%:d0-Lx:10%:none                NA           NA         NA        NA
## L1:Ctrl:d05-Lx:10%:none              NA           NA         NA        NA
## Lx:Ctrl:d05-Lx:10%:none              NA           NA         NA        NA
## L1:05%:d05-Lx:10%:none               NA           NA         NA        NA
## Lx:05%:d05-Lx:10%:none               NA           NA         NA        NA
## L1:10%:d05-Lx:10%:none               NA           NA         NA        NA
## Lx:10%:d05-Lx:10%:none               NA           NA         NA        NA
## L1:25%:d05-Lx:10%:none               NA           NA         NA        NA
## Lx:25%:d05-Lx:10%:none               NA           NA         NA        NA
## L1:50%:d05-Lx:10%:none               NA           NA         NA        NA
## Lx:50%:d05-Lx:10%:none               NA           NA         NA        NA
## L1:Ctrl:d10-Lx:10%:none              NA           NA         NA        NA
## Lx:Ctrl:d10-Lx:10%:none              NA           NA         NA        NA
## L1:05%:d10-Lx:10%:none               NA           NA         NA        NA
## Lx:05%:d10-Lx:10%:none               NA           NA         NA        NA
## L1:10%:d10-Lx:10%:none               NA           NA         NA        NA
## Lx:10%:d10-Lx:10%:none               NA           NA         NA        NA
## L1:25%:d10-Lx:10%:none               NA           NA         NA        NA
## Lx:25%:d10-Lx:10%:none               NA           NA         NA        NA
## L1:50%:d10-Lx:10%:none               NA           NA         NA        NA
## Lx:50%:d10-Lx:10%:none               NA           NA         NA        NA
## L1:Ctrl:d15-Lx:10%:none              NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:10%:none              NA           NA         NA        NA
## L1:05%:d15-Lx:10%:none               NA           NA         NA        NA
## Lx:05%:d15-Lx:10%:none               NA           NA         NA        NA
## L1:10%:d15-Lx:10%:none               NA           NA         NA        NA
## Lx:10%:d15-Lx:10%:none               NA           NA         NA        NA
## L1:25%:d15-Lx:10%:none               NA           NA         NA        NA
## Lx:25%:d15-Lx:10%:none               NA           NA         NA        NA
## L1:50%:d15-Lx:10%:none               NA           NA         NA        NA
## Lx:50%:d15-Lx:10%:none               NA           NA         NA        NA
## Lx:25%:none-L1:25%:none              NA           NA         NA        NA
## L1:50%:none-L1:25%:none              NA           NA         NA        NA
## Lx:50%:none-L1:25%:none              NA           NA         NA        NA
## L1:Ctrl:d0-L1:25%:none               NA           NA         NA        NA
## Lx:Ctrl:d0-L1:25%:none               NA           NA         NA        NA
## L1:05%:d0-L1:25%:none                NA           NA         NA        NA
## Lx:05%:d0-L1:25%:none                NA           NA         NA        NA
## L1:10%:d0-L1:25%:none                NA           NA         NA        NA
## Lx:10%:d0-L1:25%:none                NA           NA         NA        NA
## L1:25%:d0-L1:25%:none                NA           NA         NA        NA
## Lx:25%:d0-L1:25%:none                NA           NA         NA        NA
## L1:50%:d0-L1:25%:none                NA           NA         NA        NA
## Lx:50%:d0-L1:25%:none                NA           NA         NA        NA
## L1:Ctrl:d05-L1:25%:none              NA           NA         NA        NA
## Lx:Ctrl:d05-L1:25%:none              NA           NA         NA        NA
## L1:05%:d05-L1:25%:none               NA           NA         NA        NA
## Lx:05%:d05-L1:25%:none               NA           NA         NA        NA
## L1:10%:d05-L1:25%:none               NA           NA         NA        NA
## Lx:10%:d05-L1:25%:none               NA           NA         NA        NA
## L1:25%:d05-L1:25%:none               NA           NA         NA        NA
## Lx:25%:d05-L1:25%:none               NA           NA         NA        NA
## L1:50%:d05-L1:25%:none               NA           NA         NA        NA
## Lx:50%:d05-L1:25%:none               NA           NA         NA        NA
## L1:Ctrl:d10-L1:25%:none              NA           NA         NA        NA
## Lx:Ctrl:d10-L1:25%:none              NA           NA         NA        NA
## L1:05%:d10-L1:25%:none               NA           NA         NA        NA
## Lx:05%:d10-L1:25%:none               NA           NA         NA        NA
## L1:10%:d10-L1:25%:none               NA           NA         NA        NA
## Lx:10%:d10-L1:25%:none               NA           NA         NA        NA
## L1:25%:d10-L1:25%:none               NA           NA         NA        NA
## Lx:25%:d10-L1:25%:none               NA           NA         NA        NA
## L1:50%:d10-L1:25%:none               NA           NA         NA        NA
## Lx:50%:d10-L1:25%:none               NA           NA         NA        NA
## L1:Ctrl:d15-L1:25%:none              NA           NA         NA        NA
## Lx:Ctrl:d15-L1:25%:none              NA           NA         NA        NA
## L1:05%:d15-L1:25%:none               NA           NA         NA        NA
## Lx:05%:d15-L1:25%:none               NA           NA         NA        NA
## L1:10%:d15-L1:25%:none               NA           NA         NA        NA
## Lx:10%:d15-L1:25%:none               NA           NA         NA        NA
## L1:25%:d15-L1:25%:none               NA           NA         NA        NA
## Lx:25%:d15-L1:25%:none               NA           NA         NA        NA
## L1:50%:d15-L1:25%:none               NA           NA         NA        NA
## Lx:50%:d15-L1:25%:none               NA           NA         NA        NA
## L1:50%:none-Lx:25%:none              NA           NA         NA        NA
## Lx:50%:none-Lx:25%:none              NA           NA         NA        NA
## L1:Ctrl:d0-Lx:25%:none               NA           NA         NA        NA
## Lx:Ctrl:d0-Lx:25%:none               NA           NA         NA        NA
## L1:05%:d0-Lx:25%:none                NA           NA         NA        NA
## Lx:05%:d0-Lx:25%:none                NA           NA         NA        NA
## L1:10%:d0-Lx:25%:none                NA           NA         NA        NA
## Lx:10%:d0-Lx:25%:none                NA           NA         NA        NA
## L1:25%:d0-Lx:25%:none                NA           NA         NA        NA
## Lx:25%:d0-Lx:25%:none                NA           NA         NA        NA
## L1:50%:d0-Lx:25%:none                NA           NA         NA        NA
## Lx:50%:d0-Lx:25%:none                NA           NA         NA        NA
## L1:Ctrl:d05-Lx:25%:none              NA           NA         NA        NA
## Lx:Ctrl:d05-Lx:25%:none              NA           NA         NA        NA
## L1:05%:d05-Lx:25%:none               NA           NA         NA        NA
## Lx:05%:d05-Lx:25%:none               NA           NA         NA        NA
## L1:10%:d05-Lx:25%:none               NA           NA         NA        NA
## Lx:10%:d05-Lx:25%:none               NA           NA         NA        NA
## L1:25%:d05-Lx:25%:none               NA           NA         NA        NA
## Lx:25%:d05-Lx:25%:none               NA           NA         NA        NA
## L1:50%:d05-Lx:25%:none               NA           NA         NA        NA
## Lx:50%:d05-Lx:25%:none               NA           NA         NA        NA
## L1:Ctrl:d10-Lx:25%:none              NA           NA         NA        NA
## Lx:Ctrl:d10-Lx:25%:none              NA           NA         NA        NA
## L1:05%:d10-Lx:25%:none               NA           NA         NA        NA
## Lx:05%:d10-Lx:25%:none               NA           NA         NA        NA
## L1:10%:d10-Lx:25%:none               NA           NA         NA        NA
## Lx:10%:d10-Lx:25%:none               NA           NA         NA        NA
## L1:25%:d10-Lx:25%:none               NA           NA         NA        NA
## Lx:25%:d10-Lx:25%:none               NA           NA         NA        NA
## L1:50%:d10-Lx:25%:none               NA           NA         NA        NA
## Lx:50%:d10-Lx:25%:none               NA           NA         NA        NA
## L1:Ctrl:d15-Lx:25%:none              NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:25%:none              NA           NA         NA        NA
## L1:05%:d15-Lx:25%:none               NA           NA         NA        NA
## Lx:05%:d15-Lx:25%:none               NA           NA         NA        NA
## L1:10%:d15-Lx:25%:none               NA           NA         NA        NA
## Lx:10%:d15-Lx:25%:none               NA           NA         NA        NA
## L1:25%:d15-Lx:25%:none               NA           NA         NA        NA
## Lx:25%:d15-Lx:25%:none               NA           NA         NA        NA
## L1:50%:d15-Lx:25%:none               NA           NA         NA        NA
## Lx:50%:d15-Lx:25%:none               NA           NA         NA        NA
## Lx:50%:none-L1:50%:none              NA           NA         NA        NA
## L1:Ctrl:d0-L1:50%:none               NA           NA         NA        NA
## Lx:Ctrl:d0-L1:50%:none               NA           NA         NA        NA
## L1:05%:d0-L1:50%:none                NA           NA         NA        NA
## Lx:05%:d0-L1:50%:none                NA           NA         NA        NA
## L1:10%:d0-L1:50%:none                NA           NA         NA        NA
## Lx:10%:d0-L1:50%:none                NA           NA         NA        NA
## L1:25%:d0-L1:50%:none                NA           NA         NA        NA
## Lx:25%:d0-L1:50%:none                NA           NA         NA        NA
## L1:50%:d0-L1:50%:none                NA           NA         NA        NA
## Lx:50%:d0-L1:50%:none                NA           NA         NA        NA
## L1:Ctrl:d05-L1:50%:none              NA           NA         NA        NA
## Lx:Ctrl:d05-L1:50%:none              NA           NA         NA        NA
## L1:05%:d05-L1:50%:none               NA           NA         NA        NA
## Lx:05%:d05-L1:50%:none               NA           NA         NA        NA
## L1:10%:d05-L1:50%:none               NA           NA         NA        NA
## Lx:10%:d05-L1:50%:none               NA           NA         NA        NA
## L1:25%:d05-L1:50%:none               NA           NA         NA        NA
## Lx:25%:d05-L1:50%:none               NA           NA         NA        NA
## L1:50%:d05-L1:50%:none               NA           NA         NA        NA
## Lx:50%:d05-L1:50%:none               NA           NA         NA        NA
## L1:Ctrl:d10-L1:50%:none              NA           NA         NA        NA
## Lx:Ctrl:d10-L1:50%:none              NA           NA         NA        NA
## L1:05%:d10-L1:50%:none               NA           NA         NA        NA
## Lx:05%:d10-L1:50%:none               NA           NA         NA        NA
## L1:10%:d10-L1:50%:none               NA           NA         NA        NA
## Lx:10%:d10-L1:50%:none               NA           NA         NA        NA
## L1:25%:d10-L1:50%:none               NA           NA         NA        NA
## Lx:25%:d10-L1:50%:none               NA           NA         NA        NA
## L1:50%:d10-L1:50%:none               NA           NA         NA        NA
## Lx:50%:d10-L1:50%:none               NA           NA         NA        NA
## L1:Ctrl:d15-L1:50%:none              NA           NA         NA        NA
## Lx:Ctrl:d15-L1:50%:none              NA           NA         NA        NA
## L1:05%:d15-L1:50%:none               NA           NA         NA        NA
## Lx:05%:d15-L1:50%:none               NA           NA         NA        NA
## L1:10%:d15-L1:50%:none               NA           NA         NA        NA
## Lx:10%:d15-L1:50%:none               NA           NA         NA        NA
## L1:25%:d15-L1:50%:none               NA           NA         NA        NA
## Lx:25%:d15-L1:50%:none               NA           NA         NA        NA
## L1:50%:d15-L1:50%:none               NA           NA         NA        NA
## Lx:50%:d15-L1:50%:none               NA           NA         NA        NA
## L1:Ctrl:d0-Lx:50%:none               NA           NA         NA        NA
## Lx:Ctrl:d0-Lx:50%:none               NA           NA         NA        NA
## L1:05%:d0-Lx:50%:none                NA           NA         NA        NA
## Lx:05%:d0-Lx:50%:none                NA           NA         NA        NA
## L1:10%:d0-Lx:50%:none                NA           NA         NA        NA
## Lx:10%:d0-Lx:50%:none                NA           NA         NA        NA
## L1:25%:d0-Lx:50%:none                NA           NA         NA        NA
## Lx:25%:d0-Lx:50%:none                NA           NA         NA        NA
## L1:50%:d0-Lx:50%:none                NA           NA         NA        NA
## Lx:50%:d0-Lx:50%:none                NA           NA         NA        NA
## L1:Ctrl:d05-Lx:50%:none              NA           NA         NA        NA
## Lx:Ctrl:d05-Lx:50%:none              NA           NA         NA        NA
## L1:05%:d05-Lx:50%:none               NA           NA         NA        NA
## Lx:05%:d05-Lx:50%:none               NA           NA         NA        NA
## L1:10%:d05-Lx:50%:none               NA           NA         NA        NA
## Lx:10%:d05-Lx:50%:none               NA           NA         NA        NA
## L1:25%:d05-Lx:50%:none               NA           NA         NA        NA
## Lx:25%:d05-Lx:50%:none               NA           NA         NA        NA
## L1:50%:d05-Lx:50%:none               NA           NA         NA        NA
## Lx:50%:d05-Lx:50%:none               NA           NA         NA        NA
## L1:Ctrl:d10-Lx:50%:none              NA           NA         NA        NA
## Lx:Ctrl:d10-Lx:50%:none              NA           NA         NA        NA
## L1:05%:d10-Lx:50%:none               NA           NA         NA        NA
## Lx:05%:d10-Lx:50%:none               NA           NA         NA        NA
## L1:10%:d10-Lx:50%:none               NA           NA         NA        NA
## Lx:10%:d10-Lx:50%:none               NA           NA         NA        NA
## L1:25%:d10-Lx:50%:none               NA           NA         NA        NA
## Lx:25%:d10-Lx:50%:none               NA           NA         NA        NA
## L1:50%:d10-Lx:50%:none               NA           NA         NA        NA
## Lx:50%:d10-Lx:50%:none               NA           NA         NA        NA
## L1:Ctrl:d15-Lx:50%:none              NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:50%:none              NA           NA         NA        NA
## L1:05%:d15-Lx:50%:none               NA           NA         NA        NA
## Lx:05%:d15-Lx:50%:none               NA           NA         NA        NA
## L1:10%:d15-Lx:50%:none               NA           NA         NA        NA
## Lx:10%:d15-Lx:50%:none               NA           NA         NA        NA
## L1:25%:d15-Lx:50%:none               NA           NA         NA        NA
## Lx:25%:d15-Lx:50%:none               NA           NA         NA        NA
## L1:50%:d15-Lx:50%:none               NA           NA         NA        NA
## Lx:50%:d15-Lx:50%:none               NA           NA         NA        NA
## Lx:Ctrl:d0-L1:Ctrl:d0                NA           NA         NA        NA
## L1:05%:d0-L1:Ctrl:d0                 NA           NA         NA        NA
## Lx:05%:d0-L1:Ctrl:d0                 NA           NA         NA        NA
## L1:10%:d0-L1:Ctrl:d0                 NA           NA         NA        NA
## Lx:10%:d0-L1:Ctrl:d0                 NA           NA         NA        NA
## L1:25%:d0-L1:Ctrl:d0                 NA           NA         NA        NA
## Lx:25%:d0-L1:Ctrl:d0                 NA           NA         NA        NA
## L1:50%:d0-L1:Ctrl:d0                 NA           NA         NA        NA
## Lx:50%:d0-L1:Ctrl:d0                 NA           NA         NA        NA
## L1:Ctrl:d05-L1:Ctrl:d0               NA           NA         NA        NA
## Lx:Ctrl:d05-L1:Ctrl:d0               NA           NA         NA        NA
## L1:05%:d05-L1:Ctrl:d0                NA           NA         NA        NA
## Lx:05%:d05-L1:Ctrl:d0                NA           NA         NA        NA
## L1:10%:d05-L1:Ctrl:d0                NA           NA         NA        NA
## Lx:10%:d05-L1:Ctrl:d0                NA           NA         NA        NA
## L1:25%:d05-L1:Ctrl:d0                NA           NA         NA        NA
## Lx:25%:d05-L1:Ctrl:d0                NA           NA         NA        NA
## L1:50%:d05-L1:Ctrl:d0                NA           NA         NA        NA
## Lx:50%:d05-L1:Ctrl:d0                NA           NA         NA        NA
## L1:Ctrl:d10-L1:Ctrl:d0               NA           NA         NA        NA
## Lx:Ctrl:d10-L1:Ctrl:d0               NA           NA         NA        NA
## L1:05%:d10-L1:Ctrl:d0                NA           NA         NA        NA
## Lx:05%:d10-L1:Ctrl:d0                NA           NA         NA        NA
## L1:10%:d10-L1:Ctrl:d0                NA           NA         NA        NA
## Lx:10%:d10-L1:Ctrl:d0                NA           NA         NA        NA
## L1:25%:d10-L1:Ctrl:d0                NA           NA         NA        NA
## Lx:25%:d10-L1:Ctrl:d0                NA           NA         NA        NA
## L1:50%:d10-L1:Ctrl:d0                NA           NA         NA        NA
## Lx:50%:d10-L1:Ctrl:d0                NA           NA         NA        NA
## L1:Ctrl:d15-L1:Ctrl:d0               NA           NA         NA        NA
## Lx:Ctrl:d15-L1:Ctrl:d0               NA           NA         NA        NA
## L1:05%:d15-L1:Ctrl:d0                NA           NA         NA        NA
## Lx:05%:d15-L1:Ctrl:d0                NA           NA         NA        NA
## L1:10%:d15-L1:Ctrl:d0                NA           NA         NA        NA
## Lx:10%:d15-L1:Ctrl:d0                NA           NA         NA        NA
## L1:25%:d15-L1:Ctrl:d0                NA           NA         NA        NA
## Lx:25%:d15-L1:Ctrl:d0                NA           NA         NA        NA
## L1:50%:d15-L1:Ctrl:d0                NA           NA         NA        NA
## Lx:50%:d15-L1:Ctrl:d0                NA           NA         NA        NA
## L1:05%:d0-Lx:Ctrl:d0                 NA           NA         NA        NA
## Lx:05%:d0-Lx:Ctrl:d0                 NA           NA         NA        NA
## L1:10%:d0-Lx:Ctrl:d0                 NA           NA         NA        NA
## Lx:10%:d0-Lx:Ctrl:d0                 NA           NA         NA        NA
## L1:25%:d0-Lx:Ctrl:d0                 NA           NA         NA        NA
## Lx:25%:d0-Lx:Ctrl:d0                 NA           NA         NA        NA
## L1:50%:d0-Lx:Ctrl:d0                 NA           NA         NA        NA
## Lx:50%:d0-Lx:Ctrl:d0                 NA           NA         NA        NA
## L1:Ctrl:d05-Lx:Ctrl:d0               NA           NA         NA        NA
## Lx:Ctrl:d05-Lx:Ctrl:d0               NA           NA         NA        NA
## L1:05%:d05-Lx:Ctrl:d0                NA           NA         NA        NA
## Lx:05%:d05-Lx:Ctrl:d0                NA           NA         NA        NA
## L1:10%:d05-Lx:Ctrl:d0                NA           NA         NA        NA
## Lx:10%:d05-Lx:Ctrl:d0                NA           NA         NA        NA
## L1:25%:d05-Lx:Ctrl:d0                NA           NA         NA        NA
## Lx:25%:d05-Lx:Ctrl:d0                NA           NA         NA        NA
## L1:50%:d05-Lx:Ctrl:d0                NA           NA         NA        NA
## Lx:50%:d05-Lx:Ctrl:d0                NA           NA         NA        NA
## L1:Ctrl:d10-Lx:Ctrl:d0               NA           NA         NA        NA
## Lx:Ctrl:d10-Lx:Ctrl:d0               NA           NA         NA        NA
## L1:05%:d10-Lx:Ctrl:d0                NA           NA         NA        NA
## Lx:05%:d10-Lx:Ctrl:d0                NA           NA         NA        NA
## L1:10%:d10-Lx:Ctrl:d0                NA           NA         NA        NA
## Lx:10%:d10-Lx:Ctrl:d0                NA           NA         NA        NA
## L1:25%:d10-Lx:Ctrl:d0                NA           NA         NA        NA
## Lx:25%:d10-Lx:Ctrl:d0                NA           NA         NA        NA
## L1:50%:d10-Lx:Ctrl:d0                NA           NA         NA        NA
## Lx:50%:d10-Lx:Ctrl:d0                NA           NA         NA        NA
## L1:Ctrl:d15-Lx:Ctrl:d0               NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:Ctrl:d0               NA           NA         NA        NA
## L1:05%:d15-Lx:Ctrl:d0                NA           NA         NA        NA
## Lx:05%:d15-Lx:Ctrl:d0                NA           NA         NA        NA
## L1:10%:d15-Lx:Ctrl:d0                NA           NA         NA        NA
## Lx:10%:d15-Lx:Ctrl:d0                NA           NA         NA        NA
## L1:25%:d15-Lx:Ctrl:d0                NA           NA         NA        NA
## Lx:25%:d15-Lx:Ctrl:d0                NA           NA         NA        NA
## L1:50%:d15-Lx:Ctrl:d0                NA           NA         NA        NA
## Lx:50%:d15-Lx:Ctrl:d0                NA           NA         NA        NA
## Lx:05%:d0-L1:05%:d0        3.666667e+00  -3.28095800 10.6142913 0.9838739
## L1:10%:d0-L1:05%:d0       -2.000000e+00  -8.94762466  4.9476247 1.0000000
## Lx:10%:d0-L1:05%:d0        1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:25%:d0-L1:05%:d0       -3.000000e+00  -9.94762466  3.9476247 0.9995830
## Lx:25%:d0-L1:05%:d0        1.000000e+00  -5.94762466  7.9476247 1.0000000
## L1:50%:d0-L1:05%:d0                  NA           NA         NA        NA
## Lx:50%:d0-L1:05%:d0        1.000000e+00  -5.94762466  7.9476247 1.0000000
## L1:Ctrl:d05-L1:05%:d0                NA           NA         NA        NA
## Lx:Ctrl:d05-L1:05%:d0                NA           NA         NA        NA
## L1:05%:d05-L1:05%:d0       3.333333e-01  -6.61429133  7.2809580 1.0000000
## Lx:05%:d05-L1:05%:d0       3.333333e+00  -3.61429133 10.2809580 0.9966607
## L1:10%:d05-L1:05%:d0       3.333333e-01  -6.61429133  7.2809580 1.0000000
## Lx:10%:d05-L1:05%:d0       2.666667e+00  -4.28095800  9.6142913 0.9999731
## L1:25%:d05-L1:05%:d0       3.333333e-01  -6.61429133  7.2809580 1.0000000
## Lx:25%:d05-L1:05%:d0       1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:50%:d05-L1:05%:d0       6.000000e+00  -1.76768052 13.7676805 0.4475651
## Lx:50%:d05-L1:05%:d0       8.881784e-16  -6.94762466  6.9476247 1.0000000
## L1:Ctrl:d10-L1:05%:d0                NA           NA         NA        NA
## Lx:Ctrl:d10-L1:05%:d0                NA           NA         NA        NA
## L1:05%:d10-L1:05%:d0       1.000000e+00  -5.94762466  7.9476247 1.0000000
## Lx:05%:d10-L1:05%:d0       2.666667e+00  -4.28095800  9.6142913 0.9999731
## L1:10%:d10-L1:05%:d0       2.220446e-15  -6.94762466  6.9476247 1.0000000
## Lx:10%:d10-L1:05%:d0       3.333333e+00  -3.61429133 10.2809580 0.9966607
## L1:25%:d10-L1:05%:d0       4.440892e-15  -6.94762466  6.9476247 1.0000000
## Lx:25%:d10-L1:05%:d0       2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:50%:d10-L1:05%:d0      -1.333333e+00  -8.28095800  5.6142913 1.0000000
## Lx:50%:d10-L1:05%:d0       4.000000e+00  -2.94762466 10.9476247 0.9473193
## L1:Ctrl:d15-L1:05%:d0                NA           NA         NA        NA
## Lx:Ctrl:d15-L1:05%:d0                NA           NA         NA        NA
## L1:05%:d15-L1:05%:d0       1.666667e+00  -5.28095800  8.6142913 1.0000000
## Lx:05%:d15-L1:05%:d0       2.666667e+00  -4.28095800  9.6142913 0.9999731
## L1:10%:d15-L1:05%:d0       1.000000e+00  -5.94762466  7.9476247 1.0000000
## Lx:10%:d15-L1:05%:d0       2.666667e+00  -4.28095800  9.6142913 0.9999731
## L1:25%:d15-L1:05%:d0       1.666667e+00  -5.28095800  8.6142913 1.0000000
## Lx:25%:d15-L1:05%:d0       2.666667e+00  -4.28095800  9.6142913 0.9999731
## L1:50%:d15-L1:05%:d0       2.666667e+00  -4.28095800  9.6142913 0.9999731
## Lx:50%:d15-L1:05%:d0       6.000000e+00  -0.94762466 12.9476247 0.2152019
## L1:10%:d0-Lx:05%:d0       -5.666667e+00 -12.61429133  1.2809580 0.3253849
## Lx:10%:d0-Lx:05%:d0       -2.000000e+00  -8.94762466  4.9476247 1.0000000
## L1:25%:d0-Lx:05%:d0       -6.666667e+00 -13.61429133  0.2809580 0.0800942
## Lx:25%:d0-Lx:05%:d0       -2.666667e+00  -9.61429133  4.2809580 0.9999731
## L1:50%:d0-Lx:05%:d0                  NA           NA         NA        NA
## Lx:50%:d0-Lx:05%:d0       -2.666667e+00  -9.61429133  4.2809580 0.9999731
## L1:Ctrl:d05-Lx:05%:d0                NA           NA         NA        NA
## Lx:Ctrl:d05-Lx:05%:d0                NA           NA         NA        NA
## L1:05%:d05-Lx:05%:d0      -3.333333e+00 -10.28095800  3.6142913 0.9966607
## Lx:05%:d05-Lx:05%:d0      -3.333333e-01  -7.28095800  6.6142913 1.0000000
## L1:10%:d05-Lx:05%:d0      -3.333333e+00 -10.28095800  3.6142913 0.9966607
## Lx:10%:d05-Lx:05%:d0      -1.000000e+00  -7.94762466  5.9476247 1.0000000
## L1:25%:d05-Lx:05%:d0      -3.333333e+00 -10.28095800  3.6142913 0.9966607
## Lx:25%:d05-Lx:05%:d0      -2.000000e+00  -8.94762466  4.9476247 1.0000000
## L1:50%:d05-Lx:05%:d0       2.333333e+00  -5.43434718 10.1010138 1.0000000
## Lx:50%:d05-Lx:05%:d0      -3.666667e+00 -10.61429133  3.2809580 0.9838739
## L1:Ctrl:d10-Lx:05%:d0                NA           NA         NA        NA
## Lx:Ctrl:d10-Lx:05%:d0                NA           NA         NA        NA
## L1:05%:d10-Lx:05%:d0      -2.666667e+00  -9.61429133  4.2809580 0.9999731
## Lx:05%:d10-Lx:05%:d0      -1.000000e+00  -7.94762466  5.9476247 1.0000000
## L1:10%:d10-Lx:05%:d0      -3.666667e+00 -10.61429133  3.2809580 0.9838739
## Lx:10%:d10-Lx:05%:d0      -3.333333e-01  -7.28095800  6.6142913 1.0000000
## L1:25%:d10-Lx:05%:d0      -3.666667e+00 -10.61429133  3.2809580 0.9838739
## Lx:25%:d10-Lx:05%:d0      -1.333333e+00  -8.28095800  5.6142913 1.0000000
## L1:50%:d10-Lx:05%:d0      -5.000000e+00 -11.94762466  1.9476247 0.6130052
## Lx:50%:d10-Lx:05%:d0       3.333333e-01  -6.61429133  7.2809580 1.0000000
## L1:Ctrl:d15-Lx:05%:d0                NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:05%:d0                NA           NA         NA        NA
## L1:05%:d15-Lx:05%:d0      -2.000000e+00  -8.94762466  4.9476247 1.0000000
## Lx:05%:d15-Lx:05%:d0      -1.000000e+00  -7.94762466  5.9476247 1.0000000
## L1:10%:d15-Lx:05%:d0      -2.666667e+00  -9.61429133  4.2809580 0.9999731
## Lx:10%:d15-Lx:05%:d0      -1.000000e+00  -7.94762466  5.9476247 1.0000000
## L1:25%:d15-Lx:05%:d0      -2.000000e+00  -8.94762466  4.9476247 1.0000000
## Lx:25%:d15-Lx:05%:d0      -1.000000e+00  -7.94762466  5.9476247 1.0000000
## L1:50%:d15-Lx:05%:d0      -1.000000e+00  -7.94762466  5.9476247 1.0000000
## Lx:50%:d15-Lx:05%:d0       2.333333e+00  -4.61429133  9.2809580 0.9999993
## Lx:10%:d0-L1:10%:d0        3.666667e+00  -3.28095800 10.6142913 0.9838739
## L1:25%:d0-L1:10%:d0       -1.000000e+00  -7.94762466  5.9476247 1.0000000
## Lx:25%:d0-L1:10%:d0        3.000000e+00  -3.94762466  9.9476247 0.9995830
## L1:50%:d0-L1:10%:d0                  NA           NA         NA        NA
## Lx:50%:d0-L1:10%:d0        3.000000e+00  -3.94762466  9.9476247 0.9995830
## L1:Ctrl:d05-L1:10%:d0                NA           NA         NA        NA
## Lx:Ctrl:d05-L1:10%:d0                NA           NA         NA        NA
## L1:05%:d05-L1:10%:d0       2.333333e+00  -4.61429133  9.2809580 0.9999993
## Lx:05%:d05-L1:10%:d0       5.333333e+00  -1.61429133 12.2809580 0.4621129
## L1:10%:d05-L1:10%:d0       2.333333e+00  -4.61429133  9.2809580 0.9999993
## Lx:10%:d05-L1:10%:d0       4.666667e+00  -2.28095800 11.6142913 0.7572674
## L1:25%:d05-L1:10%:d0       2.333333e+00  -4.61429133  9.2809580 0.9999993
## Lx:25%:d05-L1:10%:d0       3.666667e+00  -3.28095800 10.6142913 0.9838739
## L1:50%:d05-L1:10%:d0       8.000000e+00   0.23231948 15.7676805 0.0346666
## Lx:50%:d05-L1:10%:d0       2.000000e+00  -4.94762466  8.9476247 1.0000000
## L1:Ctrl:d10-L1:10%:d0                NA           NA         NA        NA
## Lx:Ctrl:d10-L1:10%:d0                NA           NA         NA        NA
## L1:05%:d10-L1:10%:d0       3.000000e+00  -3.94762466  9.9476247 0.9995830
## Lx:05%:d10-L1:10%:d0       4.666667e+00  -2.28095800 11.6142913 0.7572674
## L1:10%:d10-L1:10%:d0       2.000000e+00  -4.94762466  8.9476247 1.0000000
## Lx:10%:d10-L1:10%:d0       5.333333e+00  -1.61429133 12.2809580 0.4621129
## L1:25%:d10-L1:10%:d0       2.000000e+00  -4.94762466  8.9476247 1.0000000
## Lx:25%:d10-L1:10%:d0       4.333333e+00  -2.61429133 11.2809580 0.8728649
## L1:50%:d10-L1:10%:d0       6.666667e-01  -6.28095800  7.6142913 1.0000000
## Lx:50%:d10-L1:10%:d0       6.000000e+00  -0.94762466 12.9476247 0.2152019
## L1:Ctrl:d15-L1:10%:d0                NA           NA         NA        NA
## Lx:Ctrl:d15-L1:10%:d0                NA           NA         NA        NA
## L1:05%:d15-L1:10%:d0       3.666667e+00  -3.28095800 10.6142913 0.9838739
## Lx:05%:d15-L1:10%:d0       4.666667e+00  -2.28095800 11.6142913 0.7572674
## L1:10%:d15-L1:10%:d0       3.000000e+00  -3.94762466  9.9476247 0.9995830
## Lx:10%:d15-L1:10%:d0       4.666667e+00  -2.28095800 11.6142913 0.7572674
## L1:25%:d15-L1:10%:d0       3.666667e+00  -3.28095800 10.6142913 0.9838739
## Lx:25%:d15-L1:10%:d0       4.666667e+00  -2.28095800 11.6142913 0.7572674
## L1:50%:d15-L1:10%:d0       4.666667e+00  -2.28095800 11.6142913 0.7572674
## Lx:50%:d15-L1:10%:d0       8.000000e+00   1.05237534 14.9476247 0.0068727
## L1:25%:d0-Lx:10%:d0       -4.666667e+00 -11.61429133  2.2809580 0.7572674
## Lx:25%:d0-Lx:10%:d0       -6.666667e-01  -7.61429133  6.2809580 1.0000000
## L1:50%:d0-Lx:10%:d0                  NA           NA         NA        NA
## Lx:50%:d0-Lx:10%:d0       -6.666667e-01  -7.61429133  6.2809580 1.0000000
## L1:Ctrl:d05-Lx:10%:d0                NA           NA         NA        NA
## Lx:Ctrl:d05-Lx:10%:d0                NA           NA         NA        NA
## L1:05%:d05-Lx:10%:d0      -1.333333e+00  -8.28095800  5.6142913 1.0000000
## Lx:05%:d05-Lx:10%:d0       1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:10%:d05-Lx:10%:d0      -1.333333e+00  -8.28095800  5.6142913 1.0000000
## Lx:10%:d05-Lx:10%:d0       1.000000e+00  -5.94762466  7.9476247 1.0000000
## L1:25%:d05-Lx:10%:d0      -1.333333e+00  -8.28095800  5.6142913 1.0000000
## Lx:25%:d05-Lx:10%:d0       5.329071e-15  -6.94762466  6.9476247 1.0000000
## L1:50%:d05-Lx:10%:d0       4.333333e+00  -3.43434718 12.1010138 0.9647329
## Lx:50%:d05-Lx:10%:d0      -1.666667e+00  -8.61429133  5.2809580 1.0000000
## L1:Ctrl:d10-Lx:10%:d0                NA           NA         NA        NA
## Lx:Ctrl:d10-Lx:10%:d0                NA           NA         NA        NA
## L1:05%:d10-Lx:10%:d0      -6.666667e-01  -7.61429133  6.2809580 1.0000000
## Lx:05%:d10-Lx:10%:d0       1.000000e+00  -5.94762466  7.9476247 1.0000000
## L1:10%:d10-Lx:10%:d0      -1.666667e+00  -8.61429133  5.2809580 1.0000000
## Lx:10%:d10-Lx:10%:d0       1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:25%:d10-Lx:10%:d0      -1.666667e+00  -8.61429133  5.2809580 1.0000000
## Lx:25%:d10-Lx:10%:d0       6.666667e-01  -6.28095800  7.6142913 1.0000000
## L1:50%:d10-Lx:10%:d0      -3.000000e+00  -9.94762466  3.9476247 0.9995830
## Lx:50%:d10-Lx:10%:d0       2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:Ctrl:d15-Lx:10%:d0                NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:10%:d0                NA           NA         NA        NA
## L1:05%:d15-Lx:10%:d0       1.776357e-15  -6.94762466  6.9476247 1.0000000
## Lx:05%:d15-Lx:10%:d0       1.000000e+00  -5.94762466  7.9476247 1.0000000
## L1:10%:d15-Lx:10%:d0      -6.666667e-01  -7.61429133  6.2809580 1.0000000
## Lx:10%:d15-Lx:10%:d0       1.000000e+00  -5.94762466  7.9476247 1.0000000
## L1:25%:d15-Lx:10%:d0      -2.664535e-15  -6.94762466  6.9476247 1.0000000
## Lx:25%:d15-Lx:10%:d0       1.000000e+00  -5.94762466  7.9476247 1.0000000
## L1:50%:d15-Lx:10%:d0       1.000000e+00  -5.94762466  7.9476247 1.0000000
## Lx:50%:d15-Lx:10%:d0       4.333333e+00  -2.61429133 11.2809580 0.8728649
## Lx:25%:d0-L1:25%:d0        4.000000e+00  -2.94762466 10.9476247 0.9473193
## L1:50%:d0-L1:25%:d0                  NA           NA         NA        NA
## Lx:50%:d0-L1:25%:d0        4.000000e+00  -2.94762466 10.9476247 0.9473193
## L1:Ctrl:d05-L1:25%:d0                NA           NA         NA        NA
## Lx:Ctrl:d05-L1:25%:d0                NA           NA         NA        NA
## L1:05%:d05-L1:25%:d0       3.333333e+00  -3.61429133 10.2809580 0.9966607
## Lx:05%:d05-L1:25%:d0       6.333333e+00  -0.61429133 13.2809580 0.1345722
## L1:10%:d05-L1:25%:d0       3.333333e+00  -3.61429133 10.2809580 0.9966607
## Lx:10%:d05-L1:25%:d0       5.666667e+00  -1.28095800 12.6142913 0.3253849
## L1:25%:d05-L1:25%:d0       3.333333e+00  -3.61429133 10.2809580 0.9966607
## Lx:25%:d05-L1:25%:d0       4.666667e+00  -2.28095800 11.6142913 0.7572674
## L1:50%:d05-L1:25%:d0       9.000000e+00   1.23231948 16.7676805 0.0062120
## Lx:50%:d05-L1:25%:d0       3.000000e+00  -3.94762466  9.9476247 0.9995830
## L1:Ctrl:d10-L1:25%:d0                NA           NA         NA        NA
## Lx:Ctrl:d10-L1:25%:d0                NA           NA         NA        NA
## L1:05%:d10-L1:25%:d0       4.000000e+00  -2.94762466 10.9476247 0.9473193
## Lx:05%:d10-L1:25%:d0       5.666667e+00  -1.28095800 12.6142913 0.3253849
## L1:10%:d10-L1:25%:d0       3.000000e+00  -3.94762466  9.9476247 0.9995830
## Lx:10%:d10-L1:25%:d0       6.333333e+00  -0.61429133 13.2809580 0.1345722
## L1:25%:d10-L1:25%:d0       3.000000e+00  -3.94762466  9.9476247 0.9995830
## Lx:25%:d10-L1:25%:d0       5.333333e+00  -1.61429133 12.2809580 0.4621129
## L1:50%:d10-L1:25%:d0       1.666667e+00  -5.28095800  8.6142913 1.0000000
## Lx:50%:d10-L1:25%:d0       7.000000e+00   0.05237534 13.9476247 0.0456529
## L1:Ctrl:d15-L1:25%:d0                NA           NA         NA        NA
## Lx:Ctrl:d15-L1:25%:d0                NA           NA         NA        NA
## L1:05%:d15-L1:25%:d0       4.666667e+00  -2.28095800 11.6142913 0.7572674
## Lx:05%:d15-L1:25%:d0       5.666667e+00  -1.28095800 12.6142913 0.3253849
## L1:10%:d15-L1:25%:d0       4.000000e+00  -2.94762466 10.9476247 0.9473193
## Lx:10%:d15-L1:25%:d0       5.666667e+00  -1.28095800 12.6142913 0.3253849
## L1:25%:d15-L1:25%:d0       4.666667e+00  -2.28095800 11.6142913 0.7572674
## Lx:25%:d15-L1:25%:d0       5.666667e+00  -1.28095800 12.6142913 0.3253849
## L1:50%:d15-L1:25%:d0       5.666667e+00  -1.28095800 12.6142913 0.3253849
## Lx:50%:d15-L1:25%:d0       9.000000e+00   2.05237534 15.9476247 0.0008255
## L1:50%:d0-Lx:25%:d0                  NA           NA         NA        NA
## Lx:50%:d0-Lx:25%:d0       -8.881784e-16  -6.94762466  6.9476247 1.0000000
## L1:Ctrl:d05-Lx:25%:d0                NA           NA         NA        NA
## Lx:Ctrl:d05-Lx:25%:d0                NA           NA         NA        NA
## L1:05%:d05-Lx:25%:d0      -6.666667e-01  -7.61429133  6.2809580 1.0000000
## Lx:05%:d05-Lx:25%:d0       2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:10%:d05-Lx:25%:d0      -6.666667e-01  -7.61429133  6.2809580 1.0000000
## Lx:10%:d05-Lx:25%:d0       1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:25%:d05-Lx:25%:d0      -6.666667e-01  -7.61429133  6.2809580 1.0000000
## Lx:25%:d05-Lx:25%:d0       6.666667e-01  -6.28095800  7.6142913 1.0000000
## L1:50%:d05-Lx:25%:d0       5.000000e+00  -2.76768052 12.7676805 0.8293475
## Lx:50%:d05-Lx:25%:d0      -1.000000e+00  -7.94762466  5.9476247 1.0000000
## L1:Ctrl:d10-Lx:25%:d0                NA           NA         NA        NA
## Lx:Ctrl:d10-Lx:25%:d0                NA           NA         NA        NA
## L1:05%:d10-Lx:25%:d0      -8.881784e-16  -6.94762466  6.9476247 1.0000000
## Lx:05%:d10-Lx:25%:d0       1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:10%:d10-Lx:25%:d0      -1.000000e+00  -7.94762466  5.9476247 1.0000000
## Lx:10%:d10-Lx:25%:d0       2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:25%:d10-Lx:25%:d0      -1.000000e+00  -7.94762466  5.9476247 1.0000000
## Lx:25%:d10-Lx:25%:d0       1.333333e+00  -5.61429133  8.2809580 1.0000000
## L1:50%:d10-Lx:25%:d0      -2.333333e+00  -9.28095800  4.6142913 0.9999993
## Lx:50%:d10-Lx:25%:d0       3.000000e+00  -3.94762466  9.9476247 0.9995830
## L1:Ctrl:d15-Lx:25%:d0                NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:25%:d0                NA           NA         NA        NA
## L1:05%:d15-Lx:25%:d0       6.666667e-01  -6.28095800  7.6142913 1.0000000
## Lx:05%:d15-Lx:25%:d0       1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:10%:d15-Lx:25%:d0      -4.440892e-15  -6.94762466  6.9476247 1.0000000
## Lx:10%:d15-Lx:25%:d0       1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:25%:d15-Lx:25%:d0       6.666667e-01  -6.28095800  7.6142913 1.0000000
## Lx:25%:d15-Lx:25%:d0       1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:50%:d15-Lx:25%:d0       1.666667e+00  -5.28095800  8.6142913 1.0000000
## Lx:50%:d15-Lx:25%:d0       5.000000e+00  -1.94762466 11.9476247 0.6130052
## Lx:50%:d0-L1:50%:d0                  NA           NA         NA        NA
## L1:Ctrl:d05-L1:50%:d0                NA           NA         NA        NA
## Lx:Ctrl:d05-L1:50%:d0                NA           NA         NA        NA
## L1:05%:d05-L1:50%:d0                 NA           NA         NA        NA
## Lx:05%:d05-L1:50%:d0                 NA           NA         NA        NA
## L1:10%:d05-L1:50%:d0                 NA           NA         NA        NA
## Lx:10%:d05-L1:50%:d0                 NA           NA         NA        NA
## L1:25%:d05-L1:50%:d0                 NA           NA         NA        NA
## Lx:25%:d05-L1:50%:d0                 NA           NA         NA        NA
## L1:50%:d05-L1:50%:d0                 NA           NA         NA        NA
## Lx:50%:d05-L1:50%:d0                 NA           NA         NA        NA
## L1:Ctrl:d10-L1:50%:d0                NA           NA         NA        NA
## Lx:Ctrl:d10-L1:50%:d0                NA           NA         NA        NA
## L1:05%:d10-L1:50%:d0                 NA           NA         NA        NA
## Lx:05%:d10-L1:50%:d0                 NA           NA         NA        NA
## L1:10%:d10-L1:50%:d0                 NA           NA         NA        NA
## Lx:10%:d10-L1:50%:d0                 NA           NA         NA        NA
## L1:25%:d10-L1:50%:d0                 NA           NA         NA        NA
## Lx:25%:d10-L1:50%:d0                 NA           NA         NA        NA
## L1:50%:d10-L1:50%:d0                 NA           NA         NA        NA
## Lx:50%:d10-L1:50%:d0                 NA           NA         NA        NA
## L1:Ctrl:d15-L1:50%:d0                NA           NA         NA        NA
## Lx:Ctrl:d15-L1:50%:d0                NA           NA         NA        NA
## L1:05%:d15-L1:50%:d0                 NA           NA         NA        NA
## Lx:05%:d15-L1:50%:d0                 NA           NA         NA        NA
## L1:10%:d15-L1:50%:d0                 NA           NA         NA        NA
## Lx:10%:d15-L1:50%:d0                 NA           NA         NA        NA
## L1:25%:d15-L1:50%:d0                 NA           NA         NA        NA
## Lx:25%:d15-L1:50%:d0                 NA           NA         NA        NA
## L1:50%:d15-L1:50%:d0                 NA           NA         NA        NA
## Lx:50%:d15-L1:50%:d0                 NA           NA         NA        NA
## L1:Ctrl:d05-Lx:50%:d0                NA           NA         NA        NA
## Lx:Ctrl:d05-Lx:50%:d0                NA           NA         NA        NA
## L1:05%:d05-Lx:50%:d0      -6.666667e-01  -7.61429133  6.2809580 1.0000000
## Lx:05%:d05-Lx:50%:d0       2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:10%:d05-Lx:50%:d0      -6.666667e-01  -7.61429133  6.2809580 1.0000000
## Lx:10%:d05-Lx:50%:d0       1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:25%:d05-Lx:50%:d0      -6.666667e-01  -7.61429133  6.2809580 1.0000000
## Lx:25%:d05-Lx:50%:d0       6.666667e-01  -6.28095800  7.6142913 1.0000000
## L1:50%:d05-Lx:50%:d0       5.000000e+00  -2.76768052 12.7676805 0.8293475
## Lx:50%:d05-Lx:50%:d0      -1.000000e+00  -7.94762466  5.9476247 1.0000000
## L1:Ctrl:d10-Lx:50%:d0                NA           NA         NA        NA
## Lx:Ctrl:d10-Lx:50%:d0                NA           NA         NA        NA
## L1:05%:d10-Lx:50%:d0       0.000000e+00  -6.94762466  6.9476247 1.0000000
## Lx:05%:d10-Lx:50%:d0       1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:10%:d10-Lx:50%:d0      -1.000000e+00  -7.94762466  5.9476247 1.0000000
## Lx:10%:d10-Lx:50%:d0       2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:25%:d10-Lx:50%:d0      -1.000000e+00  -7.94762466  5.9476247 1.0000000
## Lx:25%:d10-Lx:50%:d0       1.333333e+00  -5.61429133  8.2809580 1.0000000
## L1:50%:d10-Lx:50%:d0      -2.333333e+00  -9.28095800  4.6142913 0.9999993
## Lx:50%:d10-Lx:50%:d0       3.000000e+00  -3.94762466  9.9476247 0.9995830
## L1:Ctrl:d15-Lx:50%:d0                NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:50%:d0                NA           NA         NA        NA
## L1:05%:d15-Lx:50%:d0       6.666667e-01  -6.28095800  7.6142913 1.0000000
## Lx:05%:d15-Lx:50%:d0       1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:10%:d15-Lx:50%:d0      -3.552714e-15  -6.94762466  6.9476247 1.0000000
## Lx:10%:d15-Lx:50%:d0       1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:25%:d15-Lx:50%:d0       6.666667e-01  -6.28095800  7.6142913 1.0000000
## Lx:25%:d15-Lx:50%:d0       1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:50%:d15-Lx:50%:d0       1.666667e+00  -5.28095800  8.6142913 1.0000000
## Lx:50%:d15-Lx:50%:d0       5.000000e+00  -1.94762466 11.9476247 0.6130052
## Lx:Ctrl:d05-L1:Ctrl:d05              NA           NA         NA        NA
## L1:05%:d05-L1:Ctrl:d05               NA           NA         NA        NA
## Lx:05%:d05-L1:Ctrl:d05               NA           NA         NA        NA
## L1:10%:d05-L1:Ctrl:d05               NA           NA         NA        NA
## Lx:10%:d05-L1:Ctrl:d05               NA           NA         NA        NA
## L1:25%:d05-L1:Ctrl:d05               NA           NA         NA        NA
## Lx:25%:d05-L1:Ctrl:d05               NA           NA         NA        NA
## L1:50%:d05-L1:Ctrl:d05               NA           NA         NA        NA
## Lx:50%:d05-L1:Ctrl:d05               NA           NA         NA        NA
## L1:Ctrl:d10-L1:Ctrl:d05              NA           NA         NA        NA
## Lx:Ctrl:d10-L1:Ctrl:d05              NA           NA         NA        NA
## L1:05%:d10-L1:Ctrl:d05               NA           NA         NA        NA
## Lx:05%:d10-L1:Ctrl:d05               NA           NA         NA        NA
## L1:10%:d10-L1:Ctrl:d05               NA           NA         NA        NA
## Lx:10%:d10-L1:Ctrl:d05               NA           NA         NA        NA
## L1:25%:d10-L1:Ctrl:d05               NA           NA         NA        NA
## Lx:25%:d10-L1:Ctrl:d05               NA           NA         NA        NA
## L1:50%:d10-L1:Ctrl:d05               NA           NA         NA        NA
## Lx:50%:d10-L1:Ctrl:d05               NA           NA         NA        NA
## L1:Ctrl:d15-L1:Ctrl:d05              NA           NA         NA        NA
## Lx:Ctrl:d15-L1:Ctrl:d05              NA           NA         NA        NA
## L1:05%:d15-L1:Ctrl:d05               NA           NA         NA        NA
## Lx:05%:d15-L1:Ctrl:d05               NA           NA         NA        NA
## L1:10%:d15-L1:Ctrl:d05               NA           NA         NA        NA
## Lx:10%:d15-L1:Ctrl:d05               NA           NA         NA        NA
## L1:25%:d15-L1:Ctrl:d05               NA           NA         NA        NA
## Lx:25%:d15-L1:Ctrl:d05               NA           NA         NA        NA
## L1:50%:d15-L1:Ctrl:d05               NA           NA         NA        NA
## Lx:50%:d15-L1:Ctrl:d05               NA           NA         NA        NA
## L1:05%:d05-Lx:Ctrl:d05               NA           NA         NA        NA
## Lx:05%:d05-Lx:Ctrl:d05               NA           NA         NA        NA
## L1:10%:d05-Lx:Ctrl:d05               NA           NA         NA        NA
## Lx:10%:d05-Lx:Ctrl:d05               NA           NA         NA        NA
## L1:25%:d05-Lx:Ctrl:d05               NA           NA         NA        NA
## Lx:25%:d05-Lx:Ctrl:d05               NA           NA         NA        NA
## L1:50%:d05-Lx:Ctrl:d05               NA           NA         NA        NA
## Lx:50%:d05-Lx:Ctrl:d05               NA           NA         NA        NA
## L1:Ctrl:d10-Lx:Ctrl:d05              NA           NA         NA        NA
## Lx:Ctrl:d10-Lx:Ctrl:d05              NA           NA         NA        NA
## L1:05%:d10-Lx:Ctrl:d05               NA           NA         NA        NA
## Lx:05%:d10-Lx:Ctrl:d05               NA           NA         NA        NA
## L1:10%:d10-Lx:Ctrl:d05               NA           NA         NA        NA
## Lx:10%:d10-Lx:Ctrl:d05               NA           NA         NA        NA
## L1:25%:d10-Lx:Ctrl:d05               NA           NA         NA        NA
## Lx:25%:d10-Lx:Ctrl:d05               NA           NA         NA        NA
## L1:50%:d10-Lx:Ctrl:d05               NA           NA         NA        NA
## Lx:50%:d10-Lx:Ctrl:d05               NA           NA         NA        NA
## L1:Ctrl:d15-Lx:Ctrl:d05              NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:Ctrl:d05              NA           NA         NA        NA
## L1:05%:d15-Lx:Ctrl:d05               NA           NA         NA        NA
## Lx:05%:d15-Lx:Ctrl:d05               NA           NA         NA        NA
## L1:10%:d15-Lx:Ctrl:d05               NA           NA         NA        NA
## Lx:10%:d15-Lx:Ctrl:d05               NA           NA         NA        NA
## L1:25%:d15-Lx:Ctrl:d05               NA           NA         NA        NA
## Lx:25%:d15-Lx:Ctrl:d05               NA           NA         NA        NA
## L1:50%:d15-Lx:Ctrl:d05               NA           NA         NA        NA
## Lx:50%:d15-Lx:Ctrl:d05               NA           NA         NA        NA
## Lx:05%:d05-L1:05%:d05      3.000000e+00  -3.94762466  9.9476247 0.9995830
## L1:10%:d05-L1:05%:d05     -1.776357e-15  -6.94762466  6.9476247 1.0000000
## Lx:10%:d05-L1:05%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:25%:d05-L1:05%:d05     -1.776357e-15  -6.94762466  6.9476247 1.0000000
## Lx:25%:d05-L1:05%:d05      1.333333e+00  -5.61429133  8.2809580 1.0000000
## L1:50%:d05-L1:05%:d05      5.666667e+00  -2.10101385 13.4343472 0.5818083
## Lx:50%:d05-L1:05%:d05     -3.333333e-01  -7.28095800  6.6142913 1.0000000
## L1:Ctrl:d10-L1:05%:d05               NA           NA         NA        NA
## Lx:Ctrl:d10-L1:05%:d05               NA           NA         NA        NA
## L1:05%:d10-L1:05%:d05      6.666667e-01  -6.28095800  7.6142913 1.0000000
## Lx:05%:d10-L1:05%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:10%:d10-L1:05%:d05     -3.333333e-01  -7.28095800  6.6142913 1.0000000
## Lx:10%:d10-L1:05%:d05      3.000000e+00  -3.94762466  9.9476247 0.9995830
## L1:25%:d10-L1:05%:d05     -3.333333e-01  -7.28095800  6.6142913 1.0000000
## Lx:25%:d10-L1:05%:d05      2.000000e+00  -4.94762466  8.9476247 1.0000000
## L1:50%:d10-L1:05%:d05     -1.666667e+00  -8.61429133  5.2809580 1.0000000
## Lx:50%:d10-L1:05%:d05      3.666667e+00  -3.28095800 10.6142913 0.9838739
## L1:Ctrl:d15-L1:05%:d05               NA           NA         NA        NA
## Lx:Ctrl:d15-L1:05%:d05               NA           NA         NA        NA
## L1:05%:d15-L1:05%:d05      1.333333e+00  -5.61429133  8.2809580 1.0000000
## Lx:05%:d15-L1:05%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:10%:d15-L1:05%:d05      6.666667e-01  -6.28095800  7.6142913 1.0000000
## Lx:10%:d15-L1:05%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:25%:d15-L1:05%:d05      1.333333e+00  -5.61429133  8.2809580 1.0000000
## Lx:25%:d15-L1:05%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:50%:d15-L1:05%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## Lx:50%:d15-L1:05%:d05      5.666667e+00  -1.28095800 12.6142913 0.3253849
## L1:10%:d05-Lx:05%:d05     -3.000000e+00  -9.94762466  3.9476247 0.9995830
## Lx:10%:d05-Lx:05%:d05     -6.666667e-01  -7.61429133  6.2809580 1.0000000
## L1:25%:d05-Lx:05%:d05     -3.000000e+00  -9.94762466  3.9476247 0.9995830
## Lx:25%:d05-Lx:05%:d05     -1.666667e+00  -8.61429133  5.2809580 1.0000000
## L1:50%:d05-Lx:05%:d05      2.666667e+00  -5.10101385 10.4343472 0.9999986
## Lx:50%:d05-Lx:05%:d05     -3.333333e+00 -10.28095800  3.6142913 0.9966607
## L1:Ctrl:d10-Lx:05%:d05               NA           NA         NA        NA
## Lx:Ctrl:d10-Lx:05%:d05               NA           NA         NA        NA
## L1:05%:d10-Lx:05%:d05     -2.333333e+00  -9.28095800  4.6142913 0.9999993
## Lx:05%:d10-Lx:05%:d05     -6.666667e-01  -7.61429133  6.2809580 1.0000000
## L1:10%:d10-Lx:05%:d05     -3.333333e+00 -10.28095800  3.6142913 0.9966607
## Lx:10%:d10-Lx:05%:d05      2.664535e-15  -6.94762466  6.9476247 1.0000000
## L1:25%:d10-Lx:05%:d05     -3.333333e+00 -10.28095800  3.6142913 0.9966607
## Lx:25%:d10-Lx:05%:d05     -1.000000e+00  -7.94762466  5.9476247 1.0000000
## L1:50%:d10-Lx:05%:d05     -4.666667e+00 -11.61429133  2.2809580 0.7572674
## Lx:50%:d10-Lx:05%:d05      6.666667e-01  -6.28095800  7.6142913 1.0000000
## L1:Ctrl:d15-Lx:05%:d05               NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:05%:d05               NA           NA         NA        NA
## L1:05%:d15-Lx:05%:d05     -1.666667e+00  -8.61429133  5.2809580 1.0000000
## Lx:05%:d15-Lx:05%:d05     -6.666667e-01  -7.61429133  6.2809580 1.0000000
## L1:10%:d15-Lx:05%:d05     -2.333333e+00  -9.28095800  4.6142913 0.9999993
## Lx:10%:d15-Lx:05%:d05     -6.666667e-01  -7.61429133  6.2809580 1.0000000
## L1:25%:d15-Lx:05%:d05     -1.666667e+00  -8.61429133  5.2809580 1.0000000
## Lx:25%:d15-Lx:05%:d05     -6.666667e-01  -7.61429133  6.2809580 1.0000000
## L1:50%:d15-Lx:05%:d05     -6.666667e-01  -7.61429133  6.2809580 1.0000000
## Lx:50%:d15-Lx:05%:d05      2.666667e+00  -4.28095800  9.6142913 0.9999731
## Lx:10%:d05-L1:10%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:25%:d05-L1:10%:d05      0.000000e+00  -6.94762466  6.9476247 1.0000000
## Lx:25%:d05-L1:10%:d05      1.333333e+00  -5.61429133  8.2809580 1.0000000
## L1:50%:d05-L1:10%:d05      5.666667e+00  -2.10101385 13.4343472 0.5818083
## Lx:50%:d05-L1:10%:d05     -3.333333e-01  -7.28095800  6.6142913 1.0000000
## L1:Ctrl:d10-L1:10%:d05               NA           NA         NA        NA
## Lx:Ctrl:d10-L1:10%:d05               NA           NA         NA        NA
## L1:05%:d10-L1:10%:d05      6.666667e-01  -6.28095800  7.6142913 1.0000000
## Lx:05%:d10-L1:10%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:10%:d10-L1:10%:d05     -3.333333e-01  -7.28095800  6.6142913 1.0000000
## Lx:10%:d10-L1:10%:d05      3.000000e+00  -3.94762466  9.9476247 0.9995830
## L1:25%:d10-L1:10%:d05     -3.333333e-01  -7.28095800  6.6142913 1.0000000
## Lx:25%:d10-L1:10%:d05      2.000000e+00  -4.94762466  8.9476247 1.0000000
## L1:50%:d10-L1:10%:d05     -1.666667e+00  -8.61429133  5.2809580 1.0000000
## Lx:50%:d10-L1:10%:d05      3.666667e+00  -3.28095800 10.6142913 0.9838739
## L1:Ctrl:d15-L1:10%:d05               NA           NA         NA        NA
## Lx:Ctrl:d15-L1:10%:d05               NA           NA         NA        NA
## L1:05%:d15-L1:10%:d05      1.333333e+00  -5.61429133  8.2809580 1.0000000
## Lx:05%:d15-L1:10%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:10%:d15-L1:10%:d05      6.666667e-01  -6.28095800  7.6142913 1.0000000
## Lx:10%:d15-L1:10%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:25%:d15-L1:10%:d05      1.333333e+00  -5.61429133  8.2809580 1.0000000
## Lx:25%:d15-L1:10%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:50%:d15-L1:10%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## Lx:50%:d15-L1:10%:d05      5.666667e+00  -1.28095800 12.6142913 0.3253849
## L1:25%:d05-Lx:10%:d05     -2.333333e+00  -9.28095800  4.6142913 0.9999993
## Lx:25%:d05-Lx:10%:d05     -1.000000e+00  -7.94762466  5.9476247 1.0000000
## L1:50%:d05-Lx:10%:d05      3.333333e+00  -4.43434718 11.1010138 0.9996352
## Lx:50%:d05-Lx:10%:d05     -2.666667e+00  -9.61429133  4.2809580 0.9999731
## L1:Ctrl:d10-Lx:10%:d05               NA           NA         NA        NA
## Lx:Ctrl:d10-Lx:10%:d05               NA           NA         NA        NA
## L1:05%:d10-Lx:10%:d05     -1.666667e+00  -8.61429133  5.2809580 1.0000000
## Lx:05%:d10-Lx:10%:d05      8.881784e-16  -6.94762466  6.9476247 1.0000000
## L1:10%:d10-Lx:10%:d05     -2.666667e+00  -9.61429133  4.2809580 0.9999731
## Lx:10%:d10-Lx:10%:d05      6.666667e-01  -6.28095800  7.6142913 1.0000000
## L1:25%:d10-Lx:10%:d05     -2.666667e+00  -9.61429133  4.2809580 0.9999731
## Lx:25%:d10-Lx:10%:d05     -3.333333e-01  -7.28095800  6.6142913 1.0000000
## L1:50%:d10-Lx:10%:d05     -4.000000e+00 -10.94762466  2.9476247 0.9473193
## Lx:50%:d10-Lx:10%:d05      1.333333e+00  -5.61429133  8.2809580 1.0000000
## L1:Ctrl:d15-Lx:10%:d05               NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:10%:d05               NA           NA         NA        NA
## L1:05%:d15-Lx:10%:d05     -1.000000e+00  -7.94762466  5.9476247 1.0000000
## Lx:05%:d15-Lx:10%:d05      2.664535e-15  -6.94762466  6.9476247 1.0000000
## L1:10%:d15-Lx:10%:d05     -1.666667e+00  -8.61429133  5.2809580 1.0000000
## Lx:10%:d15-Lx:10%:d05      1.776357e-15  -6.94762466  6.9476247 1.0000000
## L1:25%:d15-Lx:10%:d05     -1.000000e+00  -7.94762466  5.9476247 1.0000000
## Lx:25%:d15-Lx:10%:d05     -5.329071e-15  -6.94762466  6.9476247 1.0000000
## L1:50%:d15-Lx:10%:d05      4.440892e-15  -6.94762466  6.9476247 1.0000000
## Lx:50%:d15-Lx:10%:d05      3.333333e+00  -3.61429133 10.2809580 0.9966607
## Lx:25%:d05-L1:25%:d05      1.333333e+00  -5.61429133  8.2809580 1.0000000
## L1:50%:d05-L1:25%:d05      5.666667e+00  -2.10101385 13.4343472 0.5818083
## Lx:50%:d05-L1:25%:d05     -3.333333e-01  -7.28095800  6.6142913 1.0000000
## L1:Ctrl:d10-L1:25%:d05               NA           NA         NA        NA
## Lx:Ctrl:d10-L1:25%:d05               NA           NA         NA        NA
## L1:05%:d10-L1:25%:d05      6.666667e-01  -6.28095800  7.6142913 1.0000000
## Lx:05%:d10-L1:25%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:10%:d10-L1:25%:d05     -3.333333e-01  -7.28095800  6.6142913 1.0000000
## Lx:10%:d10-L1:25%:d05      3.000000e+00  -3.94762466  9.9476247 0.9995830
## L1:25%:d10-L1:25%:d05     -3.333333e-01  -7.28095800  6.6142913 1.0000000
## Lx:25%:d10-L1:25%:d05      2.000000e+00  -4.94762466  8.9476247 1.0000000
## L1:50%:d10-L1:25%:d05     -1.666667e+00  -8.61429133  5.2809580 1.0000000
## Lx:50%:d10-L1:25%:d05      3.666667e+00  -3.28095800 10.6142913 0.9838739
## L1:Ctrl:d15-L1:25%:d05               NA           NA         NA        NA
## Lx:Ctrl:d15-L1:25%:d05               NA           NA         NA        NA
## L1:05%:d15-L1:25%:d05      1.333333e+00  -5.61429133  8.2809580 1.0000000
## Lx:05%:d15-L1:25%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:10%:d15-L1:25%:d05      6.666667e-01  -6.28095800  7.6142913 1.0000000
## Lx:10%:d15-L1:25%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:25%:d15-L1:25%:d05      1.333333e+00  -5.61429133  8.2809580 1.0000000
## Lx:25%:d15-L1:25%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:50%:d15-L1:25%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## Lx:50%:d15-L1:25%:d05      5.666667e+00  -1.28095800 12.6142913 0.3253849
## L1:50%:d05-Lx:25%:d05      4.333333e+00  -3.43434718 12.1010138 0.9647329
## Lx:50%:d05-Lx:25%:d05     -1.666667e+00  -8.61429133  5.2809580 1.0000000
## L1:Ctrl:d10-Lx:25%:d05               NA           NA         NA        NA
## Lx:Ctrl:d10-Lx:25%:d05               NA           NA         NA        NA
## L1:05%:d10-Lx:25%:d05     -6.666667e-01  -7.61429133  6.2809580 1.0000000
## Lx:05%:d10-Lx:25%:d05      1.000000e+00  -5.94762466  7.9476247 1.0000000
## L1:10%:d10-Lx:25%:d05     -1.666667e+00  -8.61429133  5.2809580 1.0000000
## Lx:10%:d10-Lx:25%:d05      1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:25%:d10-Lx:25%:d05     -1.666667e+00  -8.61429133  5.2809580 1.0000000
## Lx:25%:d10-Lx:25%:d05      6.666667e-01  -6.28095800  7.6142913 1.0000000
## L1:50%:d10-Lx:25%:d05     -3.000000e+00  -9.94762466  3.9476247 0.9995830
## Lx:50%:d10-Lx:25%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:Ctrl:d15-Lx:25%:d05               NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:25%:d05               NA           NA         NA        NA
## L1:05%:d15-Lx:25%:d05     -3.552714e-15  -6.94762466  6.9476247 1.0000000
## Lx:05%:d15-Lx:25%:d05      1.000000e+00  -5.94762466  7.9476247 1.0000000
## L1:10%:d15-Lx:25%:d05     -6.666667e-01  -7.61429133  6.2809580 1.0000000
## Lx:10%:d15-Lx:25%:d05      1.000000e+00  -5.94762466  7.9476247 1.0000000
## L1:25%:d15-Lx:25%:d05     -7.993606e-15  -6.94762466  6.9476247 1.0000000
## Lx:25%:d15-Lx:25%:d05      1.000000e+00  -5.94762466  7.9476247 1.0000000
## L1:50%:d15-Lx:25%:d05      1.000000e+00  -5.94762466  7.9476247 1.0000000
## Lx:50%:d15-Lx:25%:d05      4.333333e+00  -2.61429133 11.2809580 0.8728649
## Lx:50%:d05-L1:50%:d05     -6.000000e+00 -13.76768052  1.7676805 0.4475651
## L1:Ctrl:d10-L1:50%:d05               NA           NA         NA        NA
## Lx:Ctrl:d10-L1:50%:d05               NA           NA         NA        NA
## L1:05%:d10-L1:50%:d05     -5.000000e+00 -12.76768052  2.7676805 0.8293475
## Lx:05%:d10-L1:50%:d05     -3.333333e+00 -11.10101385  4.4343472 0.9996352
## L1:10%:d10-L1:50%:d05     -6.000000e+00 -13.76768052  1.7676805 0.4475651
## Lx:10%:d10-L1:50%:d05     -2.666667e+00 -10.43434718  5.1010138 0.9999986
## L1:25%:d10-L1:50%:d05     -6.000000e+00 -13.76768052  1.7676805 0.4475651
## Lx:25%:d10-L1:50%:d05     -3.666667e+00 -11.43434718  4.1010138 0.9975210
## L1:50%:d10-L1:50%:d05     -7.333333e+00 -15.10101385  0.4343472 0.0951649
## Lx:50%:d10-L1:50%:d05     -2.000000e+00  -9.76768052  5.7676805 1.0000000
## L1:Ctrl:d15-L1:50%:d05               NA           NA         NA        NA
## Lx:Ctrl:d15-L1:50%:d05               NA           NA         NA        NA
## L1:05%:d15-L1:50%:d05     -4.333333e+00 -12.10101385  3.4343472 0.9647329
## Lx:05%:d15-L1:50%:d05     -3.333333e+00 -11.10101385  4.4343472 0.9996352
## L1:10%:d15-L1:50%:d05     -5.000000e+00 -12.76768052  2.7676805 0.8293475
## Lx:10%:d15-L1:50%:d05     -3.333333e+00 -11.10101385  4.4343472 0.9996352
## L1:25%:d15-L1:50%:d05     -4.333333e+00 -12.10101385  3.4343472 0.9647329
## Lx:25%:d15-L1:50%:d05     -3.333333e+00 -11.10101385  4.4343472 0.9996352
## L1:50%:d15-L1:50%:d05     -3.333333e+00 -11.10101385  4.4343472 0.9996352
## Lx:50%:d15-L1:50%:d05      7.105427e-15  -7.76768052  7.7676805 1.0000000
## L1:Ctrl:d10-Lx:50%:d05               NA           NA         NA        NA
## Lx:Ctrl:d10-Lx:50%:d05               NA           NA         NA        NA
## L1:05%:d10-Lx:50%:d05      1.000000e+00  -5.94762466  7.9476247 1.0000000
## Lx:05%:d10-Lx:50%:d05      2.666667e+00  -4.28095800  9.6142913 0.9999731
## L1:10%:d10-Lx:50%:d05      1.332268e-15  -6.94762466  6.9476247 1.0000000
## Lx:10%:d10-Lx:50%:d05      3.333333e+00  -3.61429133 10.2809580 0.9966607
## L1:25%:d10-Lx:50%:d05      3.552714e-15  -6.94762466  6.9476247 1.0000000
## Lx:25%:d10-Lx:50%:d05      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:50%:d10-Lx:50%:d05     -1.333333e+00  -8.28095800  5.6142913 1.0000000
## Lx:50%:d10-Lx:50%:d05      4.000000e+00  -2.94762466 10.9476247 0.9473193
## L1:Ctrl:d15-Lx:50%:d05               NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:50%:d05               NA           NA         NA        NA
## L1:05%:d15-Lx:50%:d05      1.666667e+00  -5.28095800  8.6142913 1.0000000
## Lx:05%:d15-Lx:50%:d05      2.666667e+00  -4.28095800  9.6142913 0.9999731
## L1:10%:d15-Lx:50%:d05      1.000000e+00  -5.94762466  7.9476247 1.0000000
## Lx:10%:d15-Lx:50%:d05      2.666667e+00  -4.28095800  9.6142913 0.9999731
## L1:25%:d15-Lx:50%:d05      1.666667e+00  -5.28095800  8.6142913 1.0000000
## Lx:25%:d15-Lx:50%:d05      2.666667e+00  -4.28095800  9.6142913 0.9999731
## L1:50%:d15-Lx:50%:d05      2.666667e+00  -4.28095800  9.6142913 0.9999731
## Lx:50%:d15-Lx:50%:d05      6.000000e+00  -0.94762466 12.9476247 0.2152019
## Lx:Ctrl:d10-L1:Ctrl:d10              NA           NA         NA        NA
## L1:05%:d10-L1:Ctrl:d10               NA           NA         NA        NA
## Lx:05%:d10-L1:Ctrl:d10               NA           NA         NA        NA
## L1:10%:d10-L1:Ctrl:d10               NA           NA         NA        NA
## Lx:10%:d10-L1:Ctrl:d10               NA           NA         NA        NA
## L1:25%:d10-L1:Ctrl:d10               NA           NA         NA        NA
## Lx:25%:d10-L1:Ctrl:d10               NA           NA         NA        NA
## L1:50%:d10-L1:Ctrl:d10               NA           NA         NA        NA
## Lx:50%:d10-L1:Ctrl:d10               NA           NA         NA        NA
## L1:Ctrl:d15-L1:Ctrl:d10              NA           NA         NA        NA
## Lx:Ctrl:d15-L1:Ctrl:d10              NA           NA         NA        NA
## L1:05%:d15-L1:Ctrl:d10               NA           NA         NA        NA
## Lx:05%:d15-L1:Ctrl:d10               NA           NA         NA        NA
## L1:10%:d15-L1:Ctrl:d10               NA           NA         NA        NA
## Lx:10%:d15-L1:Ctrl:d10               NA           NA         NA        NA
## L1:25%:d15-L1:Ctrl:d10               NA           NA         NA        NA
## Lx:25%:d15-L1:Ctrl:d10               NA           NA         NA        NA
## L1:50%:d15-L1:Ctrl:d10               NA           NA         NA        NA
## Lx:50%:d15-L1:Ctrl:d10               NA           NA         NA        NA
## L1:05%:d10-Lx:Ctrl:d10               NA           NA         NA        NA
## Lx:05%:d10-Lx:Ctrl:d10               NA           NA         NA        NA
## L1:10%:d10-Lx:Ctrl:d10               NA           NA         NA        NA
## Lx:10%:d10-Lx:Ctrl:d10               NA           NA         NA        NA
## L1:25%:d10-Lx:Ctrl:d10               NA           NA         NA        NA
## Lx:25%:d10-Lx:Ctrl:d10               NA           NA         NA        NA
## L1:50%:d10-Lx:Ctrl:d10               NA           NA         NA        NA
## Lx:50%:d10-Lx:Ctrl:d10               NA           NA         NA        NA
## L1:Ctrl:d15-Lx:Ctrl:d10              NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:Ctrl:d10              NA           NA         NA        NA
## L1:05%:d15-Lx:Ctrl:d10               NA           NA         NA        NA
## Lx:05%:d15-Lx:Ctrl:d10               NA           NA         NA        NA
## L1:10%:d15-Lx:Ctrl:d10               NA           NA         NA        NA
## Lx:10%:d15-Lx:Ctrl:d10               NA           NA         NA        NA
## L1:25%:d15-Lx:Ctrl:d10               NA           NA         NA        NA
## Lx:25%:d15-Lx:Ctrl:d10               NA           NA         NA        NA
## L1:50%:d15-Lx:Ctrl:d10               NA           NA         NA        NA
## Lx:50%:d15-Lx:Ctrl:d10               NA           NA         NA        NA
## Lx:05%:d10-L1:05%:d10      1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:10%:d10-L1:05%:d10     -1.000000e+00  -7.94762466  5.9476247 1.0000000
## Lx:10%:d10-L1:05%:d10      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:25%:d10-L1:05%:d10     -1.000000e+00  -7.94762466  5.9476247 1.0000000
## Lx:25%:d10-L1:05%:d10      1.333333e+00  -5.61429133  8.2809580 1.0000000
## L1:50%:d10-L1:05%:d10     -2.333333e+00  -9.28095800  4.6142913 0.9999993
## Lx:50%:d10-L1:05%:d10      3.000000e+00  -3.94762466  9.9476247 0.9995830
## L1:Ctrl:d15-L1:05%:d10               NA           NA         NA        NA
## Lx:Ctrl:d15-L1:05%:d10               NA           NA         NA        NA
## L1:05%:d15-L1:05%:d10      6.666667e-01  -6.28095800  7.6142913 1.0000000
## Lx:05%:d15-L1:05%:d10      1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:10%:d15-L1:05%:d10     -3.552714e-15  -6.94762466  6.9476247 1.0000000
## Lx:10%:d15-L1:05%:d10      1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:25%:d15-L1:05%:d10      6.666667e-01  -6.28095800  7.6142913 1.0000000
## Lx:25%:d15-L1:05%:d10      1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:50%:d15-L1:05%:d10      1.666667e+00  -5.28095800  8.6142913 1.0000000
## Lx:50%:d15-L1:05%:d10      5.000000e+00  -1.94762466 11.9476247 0.6130052
## L1:10%:d10-Lx:05%:d10     -2.666667e+00  -9.61429133  4.2809580 0.9999731
## Lx:10%:d10-Lx:05%:d10      6.666667e-01  -6.28095800  7.6142913 1.0000000
## L1:25%:d10-Lx:05%:d10     -2.666667e+00  -9.61429133  4.2809580 0.9999731
## Lx:25%:d10-Lx:05%:d10     -3.333333e-01  -7.28095800  6.6142913 1.0000000
## L1:50%:d10-Lx:05%:d10     -4.000000e+00 -10.94762466  2.9476247 0.9473193
## Lx:50%:d10-Lx:05%:d10      1.333333e+00  -5.61429133  8.2809580 1.0000000
## L1:Ctrl:d15-Lx:05%:d10               NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:05%:d10               NA           NA         NA        NA
## L1:05%:d15-Lx:05%:d10     -1.000000e+00  -7.94762466  5.9476247 1.0000000
## Lx:05%:d15-Lx:05%:d10      1.776357e-15  -6.94762466  6.9476247 1.0000000
## L1:10%:d15-Lx:05%:d10     -1.666667e+00  -8.61429133  5.2809580 1.0000000
## Lx:10%:d15-Lx:05%:d10      8.881784e-16  -6.94762466  6.9476247 1.0000000
## L1:25%:d15-Lx:05%:d10     -1.000000e+00  -7.94762466  5.9476247 1.0000000
## Lx:25%:d15-Lx:05%:d10     -6.217249e-15  -6.94762466  6.9476247 1.0000000
## L1:50%:d15-Lx:05%:d10      3.552714e-15  -6.94762466  6.9476247 1.0000000
## Lx:50%:d15-Lx:05%:d10      3.333333e+00  -3.61429133 10.2809580 0.9966607
## Lx:10%:d10-L1:10%:d10      3.333333e+00  -3.61429133 10.2809580 0.9966607
## L1:25%:d10-L1:10%:d10      2.220446e-15  -6.94762466  6.9476247 1.0000000
## Lx:25%:d10-L1:10%:d10      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:50%:d10-L1:10%:d10     -1.333333e+00  -8.28095800  5.6142913 1.0000000
## Lx:50%:d10-L1:10%:d10      4.000000e+00  -2.94762466 10.9476247 0.9473193
## L1:Ctrl:d15-L1:10%:d10               NA           NA         NA        NA
## Lx:Ctrl:d15-L1:10%:d10               NA           NA         NA        NA
## L1:05%:d15-L1:10%:d10      1.666667e+00  -5.28095800  8.6142913 1.0000000
## Lx:05%:d15-L1:10%:d10      2.666667e+00  -4.28095800  9.6142913 0.9999731
## L1:10%:d15-L1:10%:d10      1.000000e+00  -5.94762466  7.9476247 1.0000000
## Lx:10%:d15-L1:10%:d10      2.666667e+00  -4.28095800  9.6142913 0.9999731
## L1:25%:d15-L1:10%:d10      1.666667e+00  -5.28095800  8.6142913 1.0000000
## Lx:25%:d15-L1:10%:d10      2.666667e+00  -4.28095800  9.6142913 0.9999731
## L1:50%:d15-L1:10%:d10      2.666667e+00  -4.28095800  9.6142913 0.9999731
## Lx:50%:d15-L1:10%:d10      6.000000e+00  -0.94762466 12.9476247 0.2152019
## L1:25%:d10-Lx:10%:d10     -3.333333e+00 -10.28095800  3.6142913 0.9966607
## Lx:25%:d10-Lx:10%:d10     -1.000000e+00  -7.94762466  5.9476247 1.0000000
## L1:50%:d10-Lx:10%:d10     -4.666667e+00 -11.61429133  2.2809580 0.7572674
## Lx:50%:d10-Lx:10%:d10      6.666667e-01  -6.28095800  7.6142913 1.0000000
## L1:Ctrl:d15-Lx:10%:d10               NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:10%:d10               NA           NA         NA        NA
## L1:05%:d15-Lx:10%:d10     -1.666667e+00  -8.61429133  5.2809580 1.0000000
## Lx:05%:d15-Lx:10%:d10     -6.666667e-01  -7.61429133  6.2809580 1.0000000
## L1:10%:d15-Lx:10%:d10     -2.333333e+00  -9.28095800  4.6142913 0.9999993
## Lx:10%:d15-Lx:10%:d10     -6.666667e-01  -7.61429133  6.2809580 1.0000000
## L1:25%:d15-Lx:10%:d10     -1.666667e+00  -8.61429133  5.2809580 1.0000000
## Lx:25%:d15-Lx:10%:d10     -6.666667e-01  -7.61429133  6.2809580 1.0000000
## L1:50%:d15-Lx:10%:d10     -6.666667e-01  -7.61429133  6.2809580 1.0000000
## Lx:50%:d15-Lx:10%:d10      2.666667e+00  -4.28095800  9.6142913 0.9999731
## Lx:25%:d10-L1:25%:d10      2.333333e+00  -4.61429133  9.2809580 0.9999993
## L1:50%:d10-L1:25%:d10     -1.333333e+00  -8.28095800  5.6142913 1.0000000
## Lx:50%:d10-L1:25%:d10      4.000000e+00  -2.94762466 10.9476247 0.9473193
## L1:Ctrl:d15-L1:25%:d10               NA           NA         NA        NA
## Lx:Ctrl:d15-L1:25%:d10               NA           NA         NA        NA
## L1:05%:d15-L1:25%:d10      1.666667e+00  -5.28095800  8.6142913 1.0000000
## Lx:05%:d15-L1:25%:d10      2.666667e+00  -4.28095800  9.6142913 0.9999731
## L1:10%:d15-L1:25%:d10      1.000000e+00  -5.94762466  7.9476247 1.0000000
## Lx:10%:d15-L1:25%:d10      2.666667e+00  -4.28095800  9.6142913 0.9999731
## L1:25%:d15-L1:25%:d10      1.666667e+00  -5.28095800  8.6142913 1.0000000
## Lx:25%:d15-L1:25%:d10      2.666667e+00  -4.28095800  9.6142913 0.9999731
## L1:50%:d15-L1:25%:d10      2.666667e+00  -4.28095800  9.6142913 0.9999731
## Lx:50%:d15-L1:25%:d10      6.000000e+00  -0.94762466 12.9476247 0.2152019
## L1:50%:d10-Lx:25%:d10     -3.666667e+00 -10.61429133  3.2809580 0.9838739
## Lx:50%:d10-Lx:25%:d10      1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:Ctrl:d15-Lx:25%:d10               NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:25%:d10               NA           NA         NA        NA
## L1:05%:d15-Lx:25%:d10     -6.666667e-01  -7.61429133  6.2809580 1.0000000
## Lx:05%:d15-Lx:25%:d10      3.333333e-01  -6.61429133  7.2809580 1.0000000
## L1:10%:d15-Lx:25%:d10     -1.333333e+00  -8.28095800  5.6142913 1.0000000
## Lx:10%:d15-Lx:25%:d10      3.333333e-01  -6.61429133  7.2809580 1.0000000
## L1:25%:d15-Lx:25%:d10     -6.666667e-01  -7.61429133  6.2809580 1.0000000
## Lx:25%:d15-Lx:25%:d10      3.333333e-01  -6.61429133  7.2809580 1.0000000
## L1:50%:d15-Lx:25%:d10      3.333333e-01  -6.61429133  7.2809580 1.0000000
## Lx:50%:d15-Lx:25%:d10      3.666667e+00  -3.28095800 10.6142913 0.9838739
## Lx:50%:d10-L1:50%:d10      5.333333e+00  -1.61429133 12.2809580 0.4621129
## L1:Ctrl:d15-L1:50%:d10               NA           NA         NA        NA
## Lx:Ctrl:d15-L1:50%:d10               NA           NA         NA        NA
## L1:05%:d15-L1:50%:d10      3.000000e+00  -3.94762466  9.9476247 0.9995830
## Lx:05%:d15-L1:50%:d10      4.000000e+00  -2.94762466 10.9476247 0.9473193
## L1:10%:d15-L1:50%:d10      2.333333e+00  -4.61429133  9.2809580 0.9999993
## Lx:10%:d15-L1:50%:d10      4.000000e+00  -2.94762466 10.9476247 0.9473193
## L1:25%:d15-L1:50%:d10      3.000000e+00  -3.94762466  9.9476247 0.9995830
## Lx:25%:d15-L1:50%:d10      4.000000e+00  -2.94762466 10.9476247 0.9473193
## L1:50%:d15-L1:50%:d10      4.000000e+00  -2.94762466 10.9476247 0.9473193
## Lx:50%:d15-L1:50%:d10      7.333333e+00   0.38570867 14.2809580 0.0250595
## L1:Ctrl:d15-Lx:50%:d10               NA           NA         NA        NA
## Lx:Ctrl:d15-Lx:50%:d10               NA           NA         NA        NA
## L1:05%:d15-Lx:50%:d10     -2.333333e+00  -9.28095800  4.6142913 0.9999993
## Lx:05%:d15-Lx:50%:d10     -1.333333e+00  -8.28095800  5.6142913 1.0000000
## L1:10%:d15-Lx:50%:d10     -3.000000e+00  -9.94762466  3.9476247 0.9995830
## Lx:10%:d15-Lx:50%:d10     -1.333333e+00  -8.28095800  5.6142913 1.0000000
## L1:25%:d15-Lx:50%:d10     -2.333333e+00  -9.28095800  4.6142913 0.9999993
## Lx:25%:d15-Lx:50%:d10     -1.333333e+00  -8.28095800  5.6142913 1.0000000
## L1:50%:d15-Lx:50%:d10     -1.333333e+00  -8.28095800  5.6142913 1.0000000
## Lx:50%:d15-Lx:50%:d10      2.000000e+00  -4.94762466  8.9476247 1.0000000
## Lx:Ctrl:d15-L1:Ctrl:d15              NA           NA         NA        NA
## L1:05%:d15-L1:Ctrl:d15               NA           NA         NA        NA
## Lx:05%:d15-L1:Ctrl:d15               NA           NA         NA        NA
## L1:10%:d15-L1:Ctrl:d15               NA           NA         NA        NA
## Lx:10%:d15-L1:Ctrl:d15               NA           NA         NA        NA
## L1:25%:d15-L1:Ctrl:d15               NA           NA         NA        NA
## Lx:25%:d15-L1:Ctrl:d15               NA           NA         NA        NA
## L1:50%:d15-L1:Ctrl:d15               NA           NA         NA        NA
## Lx:50%:d15-L1:Ctrl:d15               NA           NA         NA        NA
## L1:05%:d15-Lx:Ctrl:d15               NA           NA         NA        NA
## Lx:05%:d15-Lx:Ctrl:d15               NA           NA         NA        NA
## L1:10%:d15-Lx:Ctrl:d15               NA           NA         NA        NA
## Lx:10%:d15-Lx:Ctrl:d15               NA           NA         NA        NA
## L1:25%:d15-Lx:Ctrl:d15               NA           NA         NA        NA
## Lx:25%:d15-Lx:Ctrl:d15               NA           NA         NA        NA
## L1:50%:d15-Lx:Ctrl:d15               NA           NA         NA        NA
## Lx:50%:d15-Lx:Ctrl:d15               NA           NA         NA        NA
## Lx:05%:d15-L1:05%:d15      1.000000e+00  -5.94762466  7.9476247 1.0000000
## L1:10%:d15-L1:05%:d15     -6.666667e-01  -7.61429133  6.2809580 1.0000000
## Lx:10%:d15-L1:05%:d15      1.000000e+00  -5.94762466  7.9476247 1.0000000
## L1:25%:d15-L1:05%:d15     -4.440892e-15  -6.94762466  6.9476247 1.0000000
## Lx:25%:d15-L1:05%:d15      1.000000e+00  -5.94762466  7.9476247 1.0000000
## L1:50%:d15-L1:05%:d15      1.000000e+00  -5.94762466  7.9476247 1.0000000
## Lx:50%:d15-L1:05%:d15      4.333333e+00  -2.61429133 11.2809580 0.8728649
## L1:10%:d15-Lx:05%:d15     -1.666667e+00  -8.61429133  5.2809580 1.0000000
## Lx:10%:d15-Lx:05%:d15     -8.881784e-16  -6.94762466  6.9476247 1.0000000
## L1:25%:d15-Lx:05%:d15     -1.000000e+00  -7.94762466  5.9476247 1.0000000
## Lx:25%:d15-Lx:05%:d15     -7.993606e-15  -6.94762466  6.9476247 1.0000000
## L1:50%:d15-Lx:05%:d15      1.776357e-15  -6.94762466  6.9476247 1.0000000
## Lx:50%:d15-Lx:05%:d15      3.333333e+00  -3.61429133 10.2809580 0.9966607
## Lx:10%:d15-L1:10%:d15      1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:25%:d15-L1:10%:d15      6.666667e-01  -6.28095800  7.6142913 1.0000000
## Lx:25%:d15-L1:10%:d15      1.666667e+00  -5.28095800  8.6142913 1.0000000
## L1:50%:d15-L1:10%:d15      1.666667e+00  -5.28095800  8.6142913 1.0000000
## Lx:50%:d15-L1:10%:d15      5.000000e+00  -1.94762466 11.9476247 0.6130052
## L1:25%:d15-Lx:10%:d15     -1.000000e+00  -7.94762466  5.9476247 1.0000000
## Lx:25%:d15-Lx:10%:d15     -7.105427e-15  -6.94762466  6.9476247 1.0000000
## L1:50%:d15-Lx:10%:d15      2.664535e-15  -6.94762466  6.9476247 1.0000000
## Lx:50%:d15-Lx:10%:d15      3.333333e+00  -3.61429133 10.2809580 0.9966607
## Lx:25%:d15-L1:25%:d15      1.000000e+00  -5.94762466  7.9476247 1.0000000
## L1:50%:d15-L1:25%:d15      1.000000e+00  -5.94762466  7.9476247 1.0000000
## Lx:50%:d15-L1:25%:d15      4.333333e+00  -2.61429133 11.2809580 0.8728649
## L1:50%:d15-Lx:25%:d15      9.769963e-15  -6.94762466  6.9476247 1.0000000
## Lx:50%:d15-Lx:25%:d15      3.333333e+00  -3.61429133 10.2809580 0.9966607
## Lx:50%:d15-L1:50%:d15      3.333333e+00  -3.61429133 10.2809580 0.9966607

3.3 Mean duration of LD

# Treatment
aov_Treatment_LD <- aov(Mean_LD_Ind ~ Treatment, data = data[Day == 17 & Ind > 0])
summary(aov_Treatment_LD)
##             Df Sum Sq Mean Sq F value Pr(>F)
## Treatment    4    8.0   2.003   0.363  0.834
## Residuals   94  518.6   5.517
plot(aov_Treatment_LD)

aov_Treatment_LDM <- aov(Mean_LD_M ~ Treatment, data = data[Day == 17 & M > 0])
summary(aov_Treatment_LDM)
##             Df Sum Sq Mean Sq F value Pr(>F)
## Treatment    4   10.6   2.641   0.585  0.674
## Residuals   92  415.5   4.516
plot(aov_Treatment_LDM)

aov_Treatment_LDF <- aov(Mean_LD_F ~ Treatment, data = data[Day == 17 & F > 0])
summary(aov_Treatment_LDF)
##             Df Sum Sq Mean Sq F value Pr(>F)
## Treatment    4   13.8   3.449   0.503  0.734
## Residuals   93  638.1   6.861
plot(aov_Treatment_LDF)

#Time (Bti_application)
aov_Bti_application_LD <- aov(Mean_LD_Ind ~ Bti_application, data = data[Day == 17 & Ind > 0])
summary(aov_Bti_application_LD)
##                 Df Sum Sq Mean Sq F value Pr(>F)
## Bti_application  4    5.4   1.349   0.243  0.913
## Residuals       94  521.2   5.545
plot(aov_Bti_application_LD)

aov_Bti_application_LDM <- aov(Mean_LD_M ~ Bti_application, data = data[Day == 17 & M > 0])
summary(aov_Bti_application_LDM)
##                 Df Sum Sq Mean Sq F value Pr(>F)
## Bti_application  4    2.9   0.716   0.156   0.96
## Residuals       92  423.2   4.600
plot(aov_Bti_application_LDM)

aov_Bti_application_LDF <- aov(Mean_LD_F ~ Bti_application, data = data[Day == 17 & F > 0])
summary(aov_Bti_application_LDF)
##                 Df Sum Sq Mean Sq F value Pr(>F)
## Bti_application  4   20.8   5.191   0.765  0.551
## Residuals       93  631.1   6.786
plot(aov_Bti_application_LDF)

#Larval_stage
aov_Larval_stage_LD <- aov(Mean_LD_Ind ~ Larval_stage, data = data[Day == 17 & Ind > 0])
summary(aov_Larval_stage_LD)
##              Df Sum Sq Mean Sq F value Pr(>F)    
## Larval_stage  1  399.8   399.8   305.8 <2e-16 ***
## Residuals    97  126.8     1.3                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_LD)

TukeyHSD(aov_Larval_stage_LD)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Mean_LD_Ind ~ Larval_stage, data = data[Day == 17 & Ind > 0])
## 
## $Larval_stage
##           diff      lwr      upr p adj
## Lx-L1 4.020805 3.564435 4.477176     0
aov_Larval_stage_LDM <- aov(Mean_LD_M ~ Larval_stage, data = data[Day == 17 & M > 0])
summary(aov_Larval_stage_LDM)
##              Df Sum Sq Mean Sq F value Pr(>F)    
## Larval_stage  1    315  315.02   269.5 <2e-16 ***
## Residuals    95    111    1.17                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_LDM)

TukeyHSD(aov_Larval_stage_LDM)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Mean_LD_M ~ Larval_stage, data = data[Day == 17 & M > 0])
## 
## $Larval_stage
##           diff     lwr      upr p adj
## Lx-L1 3.609052 3.17263 4.045474     0
aov_Larval_stage_LDF <- aov(Mean_LD_F ~ Larval_stage, data = data[Day == 17 & F > 0])
summary(aov_Larval_stage_LDF)
##              Df Sum Sq Mean Sq F value Pr(>F)    
## Larval_stage  1  457.4   457.4   225.7 <2e-16 ***
## Residuals    96  194.5     2.0                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_LDF)

TukeyHSD(aov_Larval_stage_LDF)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = Mean_LD_F ~ Larval_stage, data = data[Day == 17 & F > 0])
## 
## $Larval_stage
##           diff      lwr      upr p adj
## Lx-L1 4.324247 3.752921 4.895573     0
#Treatment x Bti_application
aov_Treatment_appl_LD <- aov(Mean_LD_Ind ~ Treatment * Bti_application, data = data[Day == 17 & Ind > 0])
summary(aov_Treatment_appl_LD)
##                           Df Sum Sq Mean Sq F value Pr(>F)
## Treatment                  4    8.0   2.003   0.335  0.854
## Bti_application            3    3.9   1.306   0.218  0.884
## Treatment:Bti_application  9   23.8   2.640   0.441  0.909
## Residuals                 82  490.9   5.987
plot(aov_Treatment_appl_LD) 

aov_Treatment_appl_LDM <- aov(Mean_LD_M ~ Treatment * Bti_application, data = data[Day == 17 & M > 0])
summary(aov_Treatment_appl_LDM)
##                           Df Sum Sq Mean Sq F value Pr(>F)
## Treatment                  4   10.6   2.641   0.552  0.698
## Bti_application            3    4.1   1.362   0.285  0.836
## Treatment:Bti_application  9   28.7   3.190   0.667  0.736
## Residuals                 80  382.7   4.784
plot(aov_Treatment_appl_LDM) 

aov_Treatment_appl_LDF <- aov(Mean_LD_F ~ Treatment * Bti_application, data = data[Day == 17 & F > 0])
summary(aov_Treatment_appl_LDF)
##                           Df Sum Sq Mean Sq F value Pr(>F)
## Treatment                  4   13.8   3.449   0.461  0.764
## Bti_application            3   15.8   5.279   0.706  0.551
## Treatment:Bti_application  9   16.3   1.812   0.242  0.987
## Residuals                 81  605.9   7.481
plot(aov_Treatment_appl_LDF)

#Larval_stage x Bti_application
aov_Larval_stage_appl_LD <- aov(Mean_LD_Ind ~ Larval_stage * Bti_application, data = data[Day == 17 & Ind > 0])
summary(aov_Larval_stage_appl_LD)
##                              Df Sum Sq Mean Sq F value Pr(>F)    
## Larval_stage                  1  399.8   399.8 315.239 <2e-16 ***
## Bti_application               4   11.0     2.7   2.168  0.079 .  
## Larval_stage:Bti_application  4    3.0     0.7   0.583  0.676    
## Residuals                    89  112.9     1.3                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_appl_LD)

aov_Larval_stage_appl_LDM <- aov(Mean_LD_M ~ Larval_stage * Bti_application, data = data[Day == 17 & M > 0])
summary(aov_Larval_stage_appl_LDM)
##                              Df Sum Sq Mean Sq F value Pr(>F)    
## Larval_stage                  1 315.02  315.02 260.778 <2e-16 ***
## Bti_application               4   0.49    0.12   0.102  0.981    
## Larval_stage:Bti_application  4   5.44    1.36   1.127  0.349    
## Residuals                    87 105.10    1.21                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_appl_LDM) 

aov_Larval_stage_appl_LDF <- aov(Mean_LD_F ~ Larval_stage * Bti_application, data = data[Day == 17 & F > 0])
summary(aov_Larval_stage_appl_LDF)
##                              Df Sum Sq Mean Sq F value  Pr(>F)    
## Larval_stage                  1  457.4   457.4 251.658 < 2e-16 ***
## Bti_application               4   31.0     7.8   4.268 0.00334 ** 
## Larval_stage:Bti_application  4    3.6     0.9   0.490 0.74275    
## Residuals                    88  159.9     1.8                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_appl_LDF)

#Larval_stage x Treatment
aov_Larval_stage_Treatment_LD <- aov(Mean_LD_Ind ~ Larval_stage * Treatment, data = data[Day == 17 & Ind > 0])
summary(aov_Larval_stage_Treatment_LD)
##                        Df Sum Sq Mean Sq F value Pr(>F)    
## Larval_stage            1  399.8   399.8 300.669 <2e-16 ***
## Treatment               4    4.9     1.2   0.925  0.453    
## Larval_stage:Treatment  4    3.6     0.9   0.671  0.614    
## Residuals              89  118.3     1.3                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Treatment_LD)

aov_Larval_stage_Treatment_LDM <- aov(Mean_LD_M ~ Larval_stage * Treatment, data = data[Day == 17 & M > 0])
summary(aov_Larval_stage_Treatment_LDM)
##                        Df Sum Sq Mean Sq F value Pr(>F)    
## Larval_stage            1 315.02  315.02 271.200 <2e-16 ***
## Treatment               4   5.16    1.29   1.112  0.356    
## Larval_stage:Treatment  4   4.81    1.20   1.036  0.393    
## Residuals              87 101.06    1.16                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Treatment_LDM)

aov_Larval_stage_Treatment_LDF <- aov(Mean_LD_F ~ Larval_stage * Treatment, data = data[Day == 17 & F > 0])
summary(aov_Larval_stage_Treatment_LDF)
##                        Df Sum Sq Mean Sq F value Pr(>F)    
## Larval_stage            1  457.4   457.4 233.295 <2e-16 ***
## Treatment               4    8.2     2.0   1.043  0.390    
## Larval_stage:Treatment  4   13.8     3.5   1.763  0.144    
## Residuals              88  172.5     2.0                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Treatment_LDF)

#Larval_stage x Treatment x Bti_application
aov_Larval_stage_Treatment_Bti_application_LD <- aov(Mean_LD_Ind ~ Larval_stage * Treatment * Bti_application, data = data[Day == 17 & Ind > 0])
summary(aov_Larval_stage_Treatment_Bti_application_LD)
##                                        Df Sum Sq Mean Sq F value Pr(>F)    
## Larval_stage                            1  399.8   399.8 300.588 <2e-16 ***
## Treatment                               4    4.9     1.2   0.924 0.4553    
## Bti_application                         3   10.1     3.4   2.537 0.0642 .  
## Larval_stage:Treatment                  4    2.7     0.7   0.509 0.7290    
## Larval_stage:Bti_application            3    1.8     0.6   0.459 0.7118    
## Treatment:Bti_application               9   12.1     1.3   1.007 0.4433    
## Larval_stage:Treatment:Bti_application  8    7.4     0.9   0.696 0.6936    
## Residuals                              66   87.8     1.3                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Treatment_Bti_application_LD)

aov_Larval_stage_Treatment_Bti_application_LDM <- aov(Mean_LD_M ~ Larval_stage * Treatment * Bti_application, data = data[Day == 17 & M > 0])
summary(aov_Larval_stage_Treatment_Bti_application_LDM)
##                                        Df Sum Sq Mean Sq F value Pr(>F)    
## Larval_stage                            1 315.02  315.02 290.002 <2e-16 ***
## Treatment                               4   5.16    1.29   1.189  0.324    
## Bti_application                         3   0.41    0.14   0.126  0.945    
## Larval_stage:Treatment                  4   4.82    1.20   1.109  0.360    
## Larval_stage:Bti_application            3   5.20    1.73   1.596  0.199    
## Treatment:Bti_application               9  15.85    1.76   1.621  0.128    
## Larval_stage:Treatment:Bti_application  8  10.08    1.26   1.159  0.337    
## Residuals                              64  69.52    1.09                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Treatment_Bti_application_LDM)
## Warning: not plotting observations with leverage one:
##   19

aov_Larval_stage_Treatment_Bti_application_LDF <- aov(Mean_LD_F ~ Larval_stage * Treatment * Bti_application, data = data[Day == 17 & F > 0])
summary(aov_Larval_stage_Treatment_Bti_application_LDF)
##                                        Df Sum Sq Mean Sq F value  Pr(>F)    
## Larval_stage                            1  457.4   457.4 246.912 < 2e-16 ***
## Treatment                               4    8.2     2.0   1.104 0.36244    
## Bti_application                         3   28.2     9.4   5.078 0.00321 ** 
## Larval_stage:Treatment                  4   10.0     2.5   1.343 0.26352    
## Larval_stage:Bti_application            3    2.0     0.7   0.364 0.77942    
## Treatment:Bti_application               9   12.8     1.4   0.766 0.64773    
## Larval_stage:Treatment:Bti_application  8   13.0     1.6   0.876 0.54151    
## Residuals                              65  120.4     1.9                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(aov_Larval_stage_Treatment_Bti_application_LDF)

3.4 % of males

selectday = 17 # change to see results over time

# Treatment
aov_Treatment_G <- aov(GR_M ~ Treatment, data = data[Day == selectday & Ind > 0])
summary(aov_Treatment_G)
##             Df Sum Sq Mean Sq F value Pr(>F)
## Treatment    4   2004   501.0   1.895  0.118
## Residuals   94  24853   264.4
plot(aov_Treatment_G)

# Time
aov_Time_G <- aov(GR_M ~ Bti_application, data = data[Day == selectday & Ind > 0])
summary(aov_Time_G)
##                 Df Sum Sq Mean Sq F value Pr(>F)
## Bti_application  4    893   223.2   0.808  0.523
## Residuals       94  25964   276.2
plot(aov_Time_G)

# Larval_stage
aov_LS_G <- aov(GR_M ~ Larval_stage, data = data[Day == selectday & Ind > 0])
summary(aov_LS_G)
##              Df Sum Sq Mean Sq F value Pr(>F)
## Larval_stage  1    615   614.8   2.273  0.135
## Residuals    97  26242   270.5
plot(aov_LS_G)

# Time x Treatment
aov_TT_G <- aov(GR_M ~ Treatment * Bti_application, data = data[Day == selectday  & Ind > 0])
summary(aov_TT_G)
##                           Df Sum Sq Mean Sq F value Pr(>F)  
## Treatment                  4   2004   501.0   2.057 0.0940 .
## Bti_application            3    796   265.4   1.089 0.3583  
## Treatment:Bti_application  9   4081   453.4   1.861 0.0695 .
## Residuals                 82  19976   243.6                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
TukeyHSD(aov_TT_G)
##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = GR_M ~ Treatment * Bti_application, data = data[Day == selectday & Ind > 0])
## 
## $Treatment
##                diff        lwr       upr     p adj
## 05%-Ctrl  -2.693986 -22.565869 17.177898 0.9955729
## 10%-Ctrl   5.609547 -14.262336 25.481430 0.9335801
## 25%-Ctrl  -5.921689 -25.793572 13.950194 0.9201697
## 50%-Ctrl   3.331430 -16.822338 23.485198 0.9905369
## 10%-05%    8.303532  -4.264550 20.871615 0.3564689
## 25%-05%   -3.227704 -15.795786  9.340379 0.9521799
## 50%-05%    6.025416  -6.983786 19.034617 0.6968679
## 25%-10%  -11.531236 -24.099319  1.036847 0.0877475
## 50%-10%   -2.278117 -15.287318 10.731085 0.9882287
## 50%-25%    9.253119  -3.756082 22.262321 0.2829399
## 
## $Bti_application
##                diff        lwr      upr     p adj
## d0-none  -5.2154567 -25.369225 14.93831 0.9508802
## d05-none  2.6004654 -17.271418 22.47235 0.9961382
## d10-none  1.3861573 -18.485726 21.25804 0.9996734
## d15-none  0.5769019 -19.294982 20.44879 0.9999901
## d05-d0    7.8159222  -5.193279 20.82512 0.4544078
## d10-d0    6.6016141  -6.407587 19.61082 0.6195552
## d15-d0    5.7923586  -7.216843 18.80156 0.7269036
## d10-d05  -1.2143081 -13.782391 11.35377 0.9988182
## d15-d05  -2.0235636 -14.591646 10.54452 0.9914375
## d15-d10  -0.8092555 -13.377338 11.75883 0.9997623
## 
## $`Treatment:Bti_application`
##                           diff        lwr      upr     p adj
## 05%:none-Ctrl:none          NA         NA       NA        NA
## 10%:none-Ctrl:none          NA         NA       NA        NA
## 25%:none-Ctrl:none          NA         NA       NA        NA
## 50%:none-Ctrl:none          NA         NA       NA        NA
## Ctrl:d0-Ctrl:none           NA         NA       NA        NA
## 05%:d0-Ctrl:none     1.9781816 -32.142537 36.09890 1.0000000
## 10%:d0-Ctrl:none     6.2580303 -27.862689 40.37875 1.0000000
## 25%:d0-Ctrl:none   -17.8303872 -51.951106 16.29033 0.9502376
## 50%:d0-Ctrl:none   -20.0006720 -61.789847 21.78850 0.9805266
## Ctrl:d05-Ctrl:none          NA         NA       NA        NA
## 05%:d05-Ctrl:none   -9.1639113 -43.284630 24.95681 0.9999976
## 10%:d05-Ctrl:none    9.4911642 -24.629555 43.61188 0.9999954
## 25%:d05-Ctrl:none   -0.3714226 -34.492141 33.74930 1.0000000
## 50%:d05-Ctrl:none   10.7713338 -23.349385 44.89205 0.9999551
## Ctrl:d10-Ctrl:none          NA         NA       NA        NA
## 05%:d10-Ctrl:none   -7.9746511 -42.095370 26.14607 0.9999998
## 10%:d10-Ctrl:none    1.4411270 -32.679592 35.56185 1.0000000
## 25%:d10-Ctrl:none    4.0290920 -30.091627 38.14981 1.0000000
## 50%:d10-Ctrl:none    8.3743639 -25.746355 42.49508 0.9999996
## Ctrl:d15-Ctrl:none          NA         NA       NA        NA
## 05%:d15-Ctrl:none    4.3844385 -29.736280 38.50516 1.0000000
## 10%:d15-Ctrl:none    5.2478660 -28.872853 39.36858 1.0000000
## 25%:d15-Ctrl:none   -9.5140387 -43.634758 24.60668 0.9999952
## 50%:d15-Ctrl:none    2.5146441 -31.606075 36.63536 1.0000000
## 10%:none-05%:none           NA         NA       NA        NA
## 25%:none-05%:none           NA         NA       NA        NA
## 50%:none-05%:none           NA         NA       NA        NA
## Ctrl:d0-05%:none            NA         NA       NA        NA
## 05%:d0-05%:none             NA         NA       NA        NA
## 10%:d0-05%:none             NA         NA       NA        NA
## 25%:d0-05%:none             NA         NA       NA        NA
## 50%:d0-05%:none             NA         NA       NA        NA
## Ctrl:d05-05%:none           NA         NA       NA        NA
## 05%:d05-05%:none            NA         NA       NA        NA
## 10%:d05-05%:none            NA         NA       NA        NA
## 25%:d05-05%:none            NA         NA       NA        NA
## 50%:d05-05%:none            NA         NA       NA        NA
## Ctrl:d10-05%:none           NA         NA       NA        NA
## 05%:d10-05%:none            NA         NA       NA        NA
## 10%:d10-05%:none            NA         NA       NA        NA
## 25%:d10-05%:none            NA         NA       NA        NA
## 50%:d10-05%:none            NA         NA       NA        NA
## Ctrl:d15-05%:none           NA         NA       NA        NA
## 05%:d15-05%:none            NA         NA       NA        NA
## 10%:d15-05%:none            NA         NA       NA        NA
## 25%:d15-05%:none            NA         NA       NA        NA
## 50%:d15-05%:none            NA         NA       NA        NA
## 25%:none-10%:none           NA         NA       NA        NA
## 50%:none-10%:none           NA         NA       NA        NA
## Ctrl:d0-10%:none            NA         NA       NA        NA
## 05%:d0-10%:none             NA         NA       NA        NA
## 10%:d0-10%:none             NA         NA       NA        NA
## 25%:d0-10%:none             NA         NA       NA        NA
## 50%:d0-10%:none             NA         NA       NA        NA
## Ctrl:d05-10%:none           NA         NA       NA        NA
## 05%:d05-10%:none            NA         NA       NA        NA
## 10%:d05-10%:none            NA         NA       NA        NA
## 25%:d05-10%:none            NA         NA       NA        NA
## 50%:d05-10%:none            NA         NA       NA        NA
## Ctrl:d10-10%:none           NA         NA       NA        NA
## 05%:d10-10%:none            NA         NA       NA        NA
## 10%:d10-10%:none            NA         NA       NA        NA
## 25%:d10-10%:none            NA         NA       NA        NA
## 50%:d10-10%:none            NA         NA       NA        NA
## Ctrl:d15-10%:none           NA         NA       NA        NA
## 05%:d15-10%:none            NA         NA       NA        NA
## 10%:d15-10%:none            NA         NA       NA        NA
## 25%:d15-10%:none            NA         NA       NA        NA
## 50%:d15-10%:none            NA         NA       NA        NA
## 50%:none-25%:none           NA         NA       NA        NA
## Ctrl:d0-25%:none            NA         NA       NA        NA
## 05%:d0-25%:none             NA         NA       NA        NA
## 10%:d0-25%:none             NA         NA       NA        NA
## 25%:d0-25%:none             NA         NA       NA        NA
## 50%:d0-25%:none             NA         NA       NA        NA
## Ctrl:d05-25%:none           NA         NA       NA        NA
## 05%:d05-25%:none            NA         NA       NA        NA
## 10%:d05-25%:none            NA         NA       NA        NA
## 25%:d05-25%:none            NA         NA       NA        NA
## 50%:d05-25%:none            NA         NA       NA        NA
## Ctrl:d10-25%:none           NA         NA       NA        NA
## 05%:d10-25%:none            NA         NA       NA        NA
## 10%:d10-25%:none            NA         NA       NA        NA
## 25%:d10-25%:none            NA         NA       NA        NA
## 50%:d10-25%:none            NA         NA       NA        NA
## Ctrl:d15-25%:none           NA         NA       NA        NA
## 05%:d15-25%:none            NA         NA       NA        NA
## 10%:d15-25%:none            NA         NA       NA        NA
## 25%:d15-25%:none            NA         NA       NA        NA
## 50%:d15-25%:none            NA         NA       NA        NA
## Ctrl:d0-50%:none            NA         NA       NA        NA
## 05%:d0-50%:none             NA         NA       NA        NA
## 10%:d0-50%:none             NA         NA       NA        NA
## 25%:d0-50%:none             NA         NA       NA        NA
## 50%:d0-50%:none             NA         NA       NA        NA
## Ctrl:d05-50%:none           NA         NA       NA        NA
## 05%:d05-50%:none            NA         NA       NA        NA
## 10%:d05-50%:none            NA         NA       NA        NA
## 25%:d05-50%:none            NA         NA       NA        NA
## 50%:d05-50%:none            NA         NA       NA        NA
## Ctrl:d10-50%:none           NA         NA       NA        NA
## 05%:d10-50%:none            NA         NA       NA        NA
## 10%:d10-50%:none            NA         NA       NA        NA
## 25%:d10-50%:none            NA         NA       NA        NA
## 50%:d10-50%:none            NA         NA       NA        NA
## Ctrl:d15-50%:none           NA         NA       NA        NA
## 05%:d15-50%:none            NA         NA       NA        NA
## 10%:d15-50%:none            NA         NA       NA        NA
## 25%:d15-50%:none            NA         NA       NA        NA
## 50%:d15-50%:none            NA         NA       NA        NA
## 05%:d0-Ctrl:d0              NA         NA       NA        NA
## 10%:d0-Ctrl:d0              NA         NA       NA        NA
## 25%:d0-Ctrl:d0              NA         NA       NA        NA
## 50%:d0-Ctrl:d0              NA         NA       NA        NA
## Ctrl:d05-Ctrl:d0            NA         NA       NA        NA
## 05%:d05-Ctrl:d0             NA         NA       NA        NA
## 10%:d05-Ctrl:d0             NA         NA       NA        NA
## 25%:d05-Ctrl:d0             NA         NA       NA        NA
## 50%:d05-Ctrl:d0             NA         NA       NA        NA
## Ctrl:d10-Ctrl:d0            NA         NA       NA        NA
## 05%:d10-Ctrl:d0             NA         NA       NA        NA
## 10%:d10-Ctrl:d0             NA         NA       NA        NA
## 25%:d10-Ctrl:d0             NA         NA       NA        NA
## 50%:d10-Ctrl:d0             NA         NA       NA        NA
## Ctrl:d15-Ctrl:d0            NA         NA       NA        NA
## 05%:d15-Ctrl:d0             NA         NA       NA        NA
## 10%:d15-Ctrl:d0             NA         NA       NA        NA
## 25%:d15-Ctrl:d0             NA         NA       NA        NA
## 50%:d15-Ctrl:d0             NA         NA       NA        NA
## 10%:d0-05%:d0        4.2798487 -29.840870 38.40057 1.0000000
## 25%:d0-05%:d0      -19.8085688 -53.929288 14.31215 0.8721712
## 50%:d0-05%:d0      -21.9788536 -63.768029 19.81032 0.9469760
## Ctrl:d05-05%:d0             NA         NA       NA        NA
## 05%:d05-05%:d0     -11.1420929 -45.262812 22.97863 0.9999198
## 10%:d05-05%:d0       7.5129826 -26.607736 41.63370 1.0000000
## 25%:d05-05%:d0      -2.3496042 -36.470323 31.77111 1.0000000
## 50%:d05-05%:d0       8.7931522 -25.327567 42.91387 0.9999989
## Ctrl:d10-05%:d0             NA         NA       NA        NA
## 05%:d10-05%:d0      -9.9528327 -44.073552 24.16789 0.9999890
## 10%:d10-05%:d0      -0.5370547 -34.657774 33.58366 1.0000000
## 25%:d10-05%:d0       2.0509103 -32.069809 36.17163 1.0000000
## 50%:d10-05%:d0       6.3961823 -27.724537 40.51690 1.0000000
## Ctrl:d15-05%:d0             NA         NA       NA        NA
## 05%:d15-05%:d0       2.4062569 -31.714462 36.52698 1.0000000
## 10%:d15-05%:d0       3.2696844 -30.851035 37.39040 1.0000000
## 25%:d15-05%:d0     -11.4922204 -45.612939 22.62850 0.9998652
## 50%:d15-05%:d0       0.5364624 -33.584256 34.65718 1.0000000
## 25%:d0-10%:d0      -24.0884175 -58.209136 10.03230 0.5640731
## 50%:d0-10%:d0      -26.2587023 -68.047878 15.53047 0.7721318
## Ctrl:d05-10%:d0             NA         NA       NA        NA
## 05%:d05-10%:d0     -15.4219416 -49.542661 18.69878 0.9901538
## 10%:d05-10%:d0       3.2331339 -30.887585 37.35385 1.0000000
## 25%:d05-10%:d0      -6.6294529 -40.750172 27.49127 1.0000000
## 50%:d05-10%:d0       4.5133035 -29.607415 38.63402 1.0000000
## Ctrl:d10-10%:d0             NA         NA       NA        NA
## 05%:d10-10%:d0     -14.2326814 -48.353400 19.88804 0.9965388
## 10%:d10-10%:d0      -4.8169034 -38.937622 29.30382 1.0000000
## 25%:d10-10%:d0      -2.2289384 -36.349657 31.89178 1.0000000
## 50%:d10-10%:d0       2.1163336 -32.004385 36.23705 1.0000000
## Ctrl:d15-10%:d0             NA         NA       NA        NA
## 05%:d15-10%:d0      -1.8735918 -35.994311 32.24713 1.0000000
## 10%:d15-10%:d0      -1.0101643 -35.130883 33.11055 1.0000000
## 25%:d15-10%:d0     -15.7720691 -49.892788 18.34865 0.9870509
## 50%:d15-10%:d0      -3.7433862 -37.864105 30.37733 1.0000000
## 50%:d0-25%:d0       -2.1702848 -43.959460 39.61889 1.0000000
## Ctrl:d05-25%:d0             NA         NA       NA        NA
## 05%:d05-25%:d0       8.6664759 -25.454243 42.78719 0.9999992
## 10%:d05-25%:d0      27.3215514  -6.799168 61.44227 0.3148108
## 25%:d05-25%:d0      17.4589646 -16.661754 51.57968 0.9597642
## 50%:d05-25%:d0      28.6017210  -5.518998 62.72244 0.2360721
## Ctrl:d10-25%:d0             NA         NA       NA        NA
## 05%:d10-25%:d0       9.8557362 -24.264983 43.97646 0.9999908
## 10%:d10-25%:d0      19.2715142 -14.849205 53.39223 0.8981550
## 25%:d10-25%:d0      21.8594792 -12.261240 55.98020 0.7419657
## 50%:d10-25%:d0      26.2047511  -7.915968 60.32547 0.3944443
## Ctrl:d15-25%:d0             NA         NA       NA        NA
## 05%:d15-25%:d0      22.2148257 -11.905893 56.33554 0.7152782
## 10%:d15-25%:d0      23.0782532 -11.042466 57.19897 0.6471267
## 25%:d15-25%:d0       8.3163485 -25.804370 42.43707 0.9999996
## 50%:d15-25%:d0      20.3450313 -13.775688 54.46575 0.8426451
## Ctrl:d05-50%:d0             NA         NA       NA        NA
## 05%:d05-50%:d0      10.8367607 -30.952415 52.62594 0.9999988
## 10%:d05-50%:d0      29.4918362 -12.297339 71.28101 0.5647714
## 25%:d05-50%:d0      19.6292494 -22.159926 61.41842 0.9843301
## 50%:d05-50%:d0      30.7720058 -11.017170 72.56118 0.4789558
## Ctrl:d10-50%:d0             NA         NA       NA        NA
## 05%:d10-50%:d0      12.0260209 -29.763155 53.81520 0.9999914
## 10%:d10-50%:d0      21.4417989 -20.347377 63.23097 0.9586105
## 25%:d10-50%:d0      24.0297640 -17.759412 65.81894 0.8816962
## 50%:d10-50%:d0      28.3750359 -13.414140 70.16421 0.6398331
## Ctrl:d15-50%:d0             NA         NA       NA        NA
## 05%:d15-50%:d0      24.3851105 -17.404065 66.17429 0.8668397
## 10%:d15-50%:d0      25.2485380 -16.540638 67.03771 0.8264641
## 25%:d15-50%:d0      10.4866332 -31.302542 52.27581 0.9999994
## 50%:d15-50%:d0      22.5153161 -19.273859 64.30449 0.9331962
## 05%:d05-Ctrl:d05            NA         NA       NA        NA
## 10%:d05-Ctrl:d05            NA         NA       NA        NA
## 25%:d05-Ctrl:d05            NA         NA       NA        NA
## 50%:d05-Ctrl:d05            NA         NA       NA        NA
## Ctrl:d10-Ctrl:d05           NA         NA       NA        NA
## 05%:d10-Ctrl:d05            NA         NA       NA        NA
## 10%:d10-Ctrl:d05            NA         NA       NA        NA
## 25%:d10-Ctrl:d05            NA         NA       NA        NA
## 50%:d10-Ctrl:d05            NA         NA       NA        NA
## Ctrl:d15-Ctrl:d05           NA         NA       NA        NA
## 05%:d15-Ctrl:d05            NA         NA       NA        NA
## 10%:d15-Ctrl:d05            NA         NA       NA        NA
## 25%:d15-Ctrl:d05            NA         NA       NA        NA
## 50%:d15-Ctrl:d05            NA         NA       NA        NA
## 10%:d05-05%:d05     18.6550755 -15.465643 52.77579 0.9235168
## 25%:d05-05%:d05      8.7924887 -25.328230 42.91321 0.9999989
## 50%:d05-05%:d05     19.9352451 -14.185474 54.05596 0.8655167
## Ctrl:d10-05%:d05            NA         NA       NA        NA
## 05%:d10-05%:d05      1.1892602 -32.931459 35.30998 1.0000000
## 10%:d10-05%:d05     10.6050382 -23.515681 44.72576 0.9999657
## 25%:d10-05%:d05     13.1930032 -20.927716 47.31372 0.9988229
## 50%:d10-05%:d05     17.5382752 -16.582444 51.65899 0.9578527
## Ctrl:d15-05%:d05            NA         NA       NA        NA
## 05%:d15-05%:d05     13.5483498 -20.572369 47.66907 0.9982658
## 10%:d15-05%:d05     14.4117773 -19.708942 48.53250 0.9958993
## 25%:d15-05%:d05     -0.3501275 -34.470846 33.77059 1.0000000
## 50%:d15-05%:d05     11.6785554 -22.442164 45.79927 0.9998243
## 25%:d05-10%:d05     -9.8625868 -43.983306 24.25813 0.9999906
## 50%:d05-10%:d05      1.2801696 -32.840549 35.40089 1.0000000
## Ctrl:d10-10%:d05            NA         NA       NA        NA
## 05%:d10-10%:d05    -17.4658153 -51.586534 16.65490 0.9596017
## 10%:d10-10%:d05     -8.0500373 -42.170756 26.07068 0.9999998
## 25%:d10-10%:d05     -5.4620723 -39.582791 28.65865 1.0000000
## 50%:d10-10%:d05     -1.1168003 -35.237519 33.00392 1.0000000
## Ctrl:d15-10%:d05            NA         NA       NA        NA
## 05%:d15-10%:d05     -5.1067257 -39.227445 29.01399 1.0000000
## 10%:d15-10%:d05     -4.2432982 -38.364017 29.87742 1.0000000
## 25%:d15-10%:d05    -19.0052030 -53.125922 15.11552 0.9096940
## 50%:d15-10%:d05     -6.9765201 -41.097239 27.14420 1.0000000
## 50%:d05-25%:d05     11.1427563 -22.977963 45.26348 0.9999197
## Ctrl:d10-25%:d05            NA         NA       NA        NA
## 05%:d10-25%:d05     -7.6032285 -41.723947 26.51749 0.9999999
## 10%:d10-25%:d05      1.8125495 -32.308169 35.93327 1.0000000
## 25%:d10-25%:d05      4.4005145 -29.720204 38.52123 1.0000000
## 50%:d10-25%:d05      8.7457865 -25.374932 42.86651 0.9999990
## Ctrl:d15-25%:d05            NA         NA       NA        NA
## 05%:d15-25%:d05      4.7558611 -29.364858 38.87658 1.0000000
## 10%:d15-25%:d05      5.6192886 -28.501430 39.74001 1.0000000
## 25%:d15-25%:d05     -9.1426162 -43.263335 24.97810 0.9999977
## 50%:d15-25%:d05      2.8860666 -31.234652 37.00679 1.0000000
## Ctrl:d10-50%:d05            NA         NA       NA        NA
## 05%:d10-50%:d05    -18.7459848 -52.866704 15.37473 0.9200737
## 10%:d10-50%:d05     -9.3302068 -43.450926 24.79051 0.9999967
## 25%:d10-50%:d05     -6.7422418 -40.862961 27.37848 1.0000000
## 50%:d10-50%:d05     -2.3969699 -36.517689 31.72375 1.0000000
## Ctrl:d15-50%:d05            NA         NA       NA        NA
## 05%:d15-50%:d05     -6.3868953 -40.507614 27.73382 1.0000000
## 10%:d15-50%:d05     -5.5234678 -39.644187 28.59725 1.0000000
## 25%:d15-50%:d05    -20.2853725 -54.406091 13.83535 0.8461008
## 50%:d15-50%:d05     -8.2566897 -42.377409 25.86403 0.9999997
## 05%:d10-Ctrl:d10            NA         NA       NA        NA
## 10%:d10-Ctrl:d10            NA         NA       NA        NA
## 25%:d10-Ctrl:d10            NA         NA       NA        NA
## 50%:d10-Ctrl:d10            NA         NA       NA        NA
## Ctrl:d15-Ctrl:d10           NA         NA       NA        NA
## 05%:d15-Ctrl:d10            NA         NA       NA        NA
## 10%:d15-Ctrl:d10            NA         NA       NA        NA
## 25%:d15-Ctrl:d10            NA         NA       NA        NA
## 50%:d15-Ctrl:d10            NA         NA       NA        NA
## 10%:d10-05%:d10      9.4157780 -24.704941 43.53650 0.9999960
## 25%:d10-05%:d10     12.0037430 -22.116976 46.12446 0.9997257
## 50%:d10-05%:d10     16.3490150 -17.771704 50.46973 0.9802726
## Ctrl:d15-05%:d10            NA         NA       NA        NA
## 05%:d15-05%:d10     12.3590896 -21.761629 46.47981 0.9995643
## 10%:d15-05%:d10     13.2225171 -20.898202 47.34324 0.9987835
## 25%:d15-05%:d10     -1.5393877 -35.660107 32.58133 1.0000000
## 50%:d15-05%:d10     10.4892951 -23.631424 44.61001 0.9999717
## 25%:d10-10%:d10      2.5879650 -31.532754 36.70868 1.0000000
## 50%:d10-10%:d10      6.9332370 -27.187482 41.05396 1.0000000
## Ctrl:d15-10%:d10            NA         NA       NA        NA
## 05%:d15-10%:d10      2.9433116 -31.177407 37.06403 1.0000000
## 10%:d15-10%:d10      3.8067391 -30.313980 37.92746 1.0000000
## 25%:d15-10%:d10    -10.9551657 -45.075885 23.16555 0.9999399
## 50%:d15-10%:d10      1.0735171 -33.047202 35.19424 1.0000000
## 50%:d10-25%:d10      4.3452720 -29.775447 38.46599 1.0000000
## Ctrl:d15-25%:d10            NA         NA       NA        NA
## 05%:d15-25%:d10      0.3553466 -33.765372 34.47607 1.0000000
## 10%:d15-25%:d10      1.2187741 -32.901945 35.33949 1.0000000
## 25%:d15-25%:d10    -13.5431307 -47.663850 20.57759 0.9982754
## 50%:d15-25%:d10     -1.5144479 -35.635167 32.60627 1.0000000
## Ctrl:d15-50%:d10            NA         NA       NA        NA
## 05%:d15-50%:d10     -3.9899254 -38.110644 30.13079 1.0000000
## 10%:d15-50%:d10     -3.1264979 -37.247217 30.99422 1.0000000
## 25%:d15-50%:d10    -17.8884027 -52.009122 16.23232 0.9486146
## 50%:d15-50%:d10     -5.8597198 -39.980439 28.26100 1.0000000
## 05%:d15-Ctrl:d15            NA         NA       NA        NA
## 10%:d15-Ctrl:d15            NA         NA       NA        NA
## 25%:d15-Ctrl:d15            NA         NA       NA        NA
## 50%:d15-Ctrl:d15            NA         NA       NA        NA
## 10%:d15-05%:d15      0.8634275 -33.257291 34.98415 1.0000000
## 25%:d15-05%:d15    -13.8984773 -48.019196 20.22224 0.9975085
## 50%:d15-05%:d15     -1.8697944 -35.990513 32.25092 1.0000000
## 25%:d15-10%:d15    -14.7619048 -48.882624 19.35881 0.9943603
## 50%:d15-10%:d15     -2.7332219 -36.853941 31.38750 1.0000000
## 50%:d15-25%:d15     12.0286828 -22.092036 46.14940 0.9997164
plot(aov_TT_G)

# Larval_stage x Time
aov_LST_G <- aov(GR_M ~ Larval_stage * Bti_application, data = data[Day == selectday & Ind > 0])
summary(aov_LST_G)
##                              Df Sum Sq Mean Sq F value Pr(>F)
## Larval_stage                  1    615   614.8   2.171  0.144
## Bti_application               4    814   203.5   0.718  0.582
## Larval_stage:Bti_application  4    218    54.5   0.192  0.942
## Residuals                    89  25210   283.3
plot(aov_LST_G)

# Larval_stage x Treatment
aov_LSTr_G <- aov(GR_M ~ Larval_stage * Treatment, data = data[Day == selectday & Ind > 0])
summary(aov_LSTr_G)
##                        Df Sum Sq Mean Sq F value Pr(>F)
## Larval_stage            1    615   614.8   2.401  0.125
## Treatment               4   2057   514.4   2.008  0.100
## Larval_stage:Treatment  4   1392   348.0   1.359  0.255
## Residuals              89  22793   256.1
plot(aov_LSTr_G)

# Larval_stage x Treatment x Bti_application
aov_LSTrT_G <- aov(GR_M ~ Larval_stage * Treatment * Bti_application, data = data[Day == selectday & Ind > 0])
summary(aov_LSTrT_G)
##                                        Df Sum Sq Mean Sq F value Pr(>F)
## Larval_stage                            1    615   614.8   2.244  0.139
## Treatment                               4   2057   514.4   1.877  0.125
## Bti_application                         3    710   236.8   0.864  0.464
## Larval_stage:Treatment                  4   1194   298.4   1.089  0.369
## Larval_stage:Bti_application            3    330   110.1   0.402  0.752
## Treatment:Bti_application               9   3231   359.0   1.310  0.249
## Larval_stage:Treatment:Bti_application  8    637    79.6   0.291  0.967
## Residuals                              66  18083   274.0
plot(aov_LSTrT_G)

4 Relationship btw. emerged individuals and duration of emergence

The pattern of duration of emergence grouped by application days is similar to the pattern of number of individuals grouped by application days (see RPC report for data visualizations). Therefore, it was further investigated if the duration of emergence is predicted by the number of individuals and if this a stochastic or biological effect.

4.1 Linear regression

lm <- lm(Emergence_all ~ Ind, data[Day==17 & Ind > 0])
summary(lm)
## 
## Call:
## lm(formula = Emergence_all ~ Ind, data = data[Day == 17 & Ind > 
##     0])
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -3.1224 -1.0759 -0.1224  0.8776  5.9188 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  0.85413    0.59549   1.434    0.155    
## Ind          0.39176    0.03461  11.320   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.81 on 97 degrees of freedom
## Multiple R-squared:  0.5692, Adjusted R-squared:  0.5647 
## F-statistic: 128.1 on 1 and 97 DF,  p-value: < 2.2e-16
ggscatter(
  data[Day == 17 & Ind > 0], x = "Ind", y = "Emergence_all", add = "reg.line") +
  geom_point(aes(colour = Bti_application), size = 3) +
  scale_colour_manual(values = application) +
  stat_regline_equation(
    aes(label =  paste(..eq.label.., ..rr.label.., sep = "~~~~"))
    )
## `geom_smooth()` using formula 'y ~ x'

4.2 ANCOVA

  • …to control for Bti_application
  • Check Assumptions:
    1. linear relationship between covariate and response variable
    • response variable = Emergence duration (Emergence_all)
    • covariate = Number of Individuals (Ind)
ggscatter(
  data[Day == 17 & Ind > 0], x = "Ind", y = "Emergence_all",
  color = "Bti_application", add = "reg.line", size = 3,
  )+
  stat_regline_equation(
    aes(label =  paste(..eq.label.., ..rr.label.., sep = "~~~~"), color = Bti_application)
    )
## `geom_smooth()` using formula 'y ~ x'

lm <- lm(Emergence_all ~ Ind, data[Day==17])
summary(lm)
## 
## Call:
## lm(formula = Emergence_all ~ Ind, data = data[Day == 17])
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -3.0984 -0.9051 -0.0984  0.8449  5.8849 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  0.64477    0.51089   1.262     0.21    
## Ind          0.40335    0.03014  13.383   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.787 on 100 degrees of freedom
## Multiple R-squared:  0.6417, Adjusted R-squared:  0.6381 
## F-statistic: 179.1 on 1 and 100 DF,  p-value: < 2.2e-16
  1. Homogeneity of regression slopes
data[Day == 17 & Ind > 0] %>% anova_test(Emergence_all ~ Bti_application * Ind)
## Coefficient covariances computed by hccm()
## ANOVA Table (type II tests)
## 
##                Effect DFn DFd      F        p p<.05   ges
## 1     Bti_application   4  89  0.113 9.77e-01       0.005
## 2                 Ind   1  89 91.256 2.69e-15     * 0.506
## 3 Bti_application:Ind   4  89  0.499 7.36e-01       0.022
data[Day == 17 & Ind > 0 & Bti_application == "none" | Day == 17 & Ind > 0 & Bti_application != "d0"] %>% anova_test(Emergence_all ~ Bti_application * Ind)
## Coefficient covariances computed by hccm()
## ANOVA Table (type II tests)
## 
##                Effect DFn DFd      F        p p<.05   ges
## 1     Bti_application   3  70  0.039 9.90e-01       0.002
## 2                 Ind   1  70 51.689 5.63e-10     * 0.425
## 3 Bti_application:Ind   3  70  0.535 6.60e-01       0.022

The slopes are not parallel. However, the interaction term is not significant, which means that the regression slopes are homogeneous.

Fit the model:

# the covariate goes first!!
model.ancova <- lm(Emergence_all ~ Ind + Bti_application, data = data[Day == 17 & Ind > 0])
summary(model.ancova)
## 
## Call:
## lm(formula = Emergence_all ~ Ind + Bti_application, data = data[Day == 
##     17 & Ind > 0])
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -3.1553 -1.0889 -0.1645  0.9650  5.8638 
## 
## Coefficients:
##                    Estimate Std. Error t value Pr(>|t|)    
## (Intercept)         0.46935    1.02355   0.459    0.648    
## Ind                 0.40184    0.04161   9.657 1.09e-15 ***
## Bti_applicationd0   0.46201    0.88099   0.524    0.601    
## Bti_applicationd05  0.14213    0.84173   0.169    0.866    
## Bti_applicationd10  0.13165    0.84253   0.156    0.876    
## Bti_applicationd15  0.22828    0.84941   0.269    0.789    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.844 on 93 degrees of freedom
## Multiple R-squared:  0.5713, Adjusted R-squared:  0.5482 
## F-statistic: 24.79 on 5 and 93 DF,  p-value: 8.627e-16
plot(model.ancova) # quickly check assumptions

model.metrics <- augment(model.ancova)

Check assumptions of the model: 3) Normality of residuals

hist(model.metrics$.resid)

shapiro_test(model.metrics$.resid)
## # A tibble: 1 x 3
##   variable             statistic  p.value
##   <chr>                    <dbl>    <dbl>
## 1 model.metrics$.resid     0.948 0.000697

Normality of residuals is ok. Shapiro test is significant. ANCOVA is relatively robust against violation of normality.

  1. homogeneous variance
model.metrics %>% levene_test(.resid ~ Bti_application)
## # A tibble: 1 x 4
##     df1   df2 statistic     p
##   <int> <int>     <dbl> <dbl>
## 1     4    94     0.631 0.641
library(car)
## Loading required package: carData
## 
## Attaching package: 'car'
## The following object is masked from 'package:dplyr':
## 
##     recode
leveneTest(Emergence_all ~ Bti_application, data = data[Day == 17 & Ind > 0])
## Levene's Test for Homogeneity of Variance (center = median)
##       Df F value Pr(>F)
## group  4  0.9618 0.4323
##       94

Variance is homogeneous.

  1. No outliers
model.metrics %>% 
  filter(abs(.std.resid) > 3) %>%
  as.data.frame()
##   Emergence_all Ind Bti_application  .fitted   .resid       .hat   .sigma
## 1            12  14             d05 6.237222 5.762778 0.04464037 1.749128
## 2            15  21             d15 9.136245 5.863755 0.04294313 1.745505
##      .cooksd .std.resid
## 1 0.07961325   3.197333
## 2 0.07901280   3.250471

There are two outliers in the data set (only slightly above 3 (std. err.)). We take them as they are because we know about them and decided to leave them in the data set. They are inside cooks distance (see above), so this should be ok (no influential point).

Computation:

res.aov <- data[Day == 17 & Ind > 0] %>% anova_test(Emergence_all ~ Ind + Bti_application)
## Coefficient covariances computed by hccm()
get_anova_table(res.aov)
## ANOVA Table (type II tests)
## 
##            Effect DFn DFd      F        p p<.05   ges
## 1             Ind   1  93 93.265 1.09e-15     * 0.501
## 2 Bti_application   4  93  0.116 9.77e-01       0.005
summary(aov(Emergence_all ~ Ind + Bti_application, data = data[Day == 17 & Ind > 0])) #another way to double check
##                 Df Sum Sq Mean Sq F value Pr(>F)    
## Ind              1  419.8   419.8 123.467 <2e-16 ***
## Bti_application  4    1.6     0.4   0.116  0.977    
## Residuals       93  316.2     3.4                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
car::Anova(aov(Emergence_all ~ Ind + Bti_application, data = data[Day == 17 & Ind > 0]), type = "III") #another way to double check
## Anova Table (Type III tests)
## 
## Response: Emergence_all
##                 Sum Sq Df F value    Pr(>F)    
## (Intercept)       0.71  1  0.2103    0.6476    
## Ind             317.13  1 93.2652 1.085e-15 ***
## Bti_application   1.58  4  0.1160    0.9766    
## Residuals       316.23 93                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

After adjustment for the number of individuals, there is no statistically significant difference in the duration of emergence between the different Bti_applications.

Is this correlation between the number of individuals and duration of emergence due to a stochastic or biological effect?

4.3 Permutation

Is this correlation between the number of individuals and duration of emergence due to a stochastic or biological effect? We can test this by resampling the data set by using permuation. In this case, the resampling is a bit tricky. The single sampled individuals need to shuffled and then the duration of emergence and total number of individuals needs to be calculated again for each sample. This is done manually in the next steps because there is no function in R doing this.

#extract information from data set for a better overview
data.perm <- data %>%
  select(Name, Rpl, Bti_application, Ind_Single, Day, Larval_stage)

data.perm.L1 <- data.perm[Larval_stage == "L1" & Day > 2] # general emergence start for L1 was later than for Lx
data.perm.Lx <- data.perm[Larval_stage == "Lx" & Day < 16] # general emergence end for Lx was later than for Lx

data.perm.L1 <- data.perm.L1 %>% arrange(Name) # order by Name 
data.perm.Lx <- data.perm.Lx %>% arrange(Name) # order by Name

set.seed(1979) # for reproducability of results


n1 <- length(data.perm.L1$Name) # the number of observations to sample
nx <- length(data.perm.Lx$Name) # the number of observations to sample

P <- 100 # the number of permutation samples to take

Ind_L1 <- data.perm.L1$Ind_Single # the variable we will resample from (single sampled (not cumulative) individuals!)
Ind_Lx <- data.perm.Lx$Ind_Single # the variable we will resample from (single sampled (not cumulative) individuals!)

PermSamplesL1 <- matrix(0, nrow=n1, ncol=P) # initialize a matrix to store the permutation data
PermSamplesLx <- matrix(0, nrow=nx, ncol=P) # initialize a matrix to store the permutation data
# each column is a permutation sample of data

# get those permutation samples
for(i in 1:P){
  PermSamplesL1[,i] <- sample(Ind_L1, size= n1, replace=FALSE)
}
for(i in 1:P){
  PermSamplesLx[,i] <- sample(Ind_Lx, size= nx, replace=FALSE)
}

PermSamplesL1 <- as.data.table(PermSamplesL1)
PermSamplesLx <- as.data.table(PermSamplesLx)

# combine data 
perm.L1v1 <- cbind(data.perm.L1, PermSamplesL1$V1)
perm.Lxv1 <- cbind(data.perm.Lx, PermSamplesLx$V1)

perm.L1v2 <- cbind(data.perm.L1, PermSamplesL1$V2)
perm.Lxv2 <- cbind(data.perm.Lx, PermSamplesLx$V2)

perm.L1v3 <- cbind(data.perm.L1, PermSamplesL1$V3)
perm.Lxv3 <- cbind(data.perm.Lx, PermSamplesLx$V3)

perm.L1v4 <- cbind(data.perm.L1, PermSamplesL1$V4)
perm.Lxv4 <- cbind(data.perm.Lx, PermSamplesLx$V4)

perm.L1v5 <- cbind(data.perm.L1, PermSamplesL1$V5)
perm.Lxv5 <- cbind(data.perm.Lx, PermSamplesLx$V5)

perm.L1v6 <- cbind(data.perm.L1, PermSamplesL1$V6)
perm.Lxv6 <- cbind(data.perm.Lx, PermSamplesLx$V6)

perm.L1v7 <- cbind(data.perm.L1, PermSamplesL1$V7)
perm.Lxv7 <- cbind(data.perm.Lx, PermSamplesLx$V7)

perm.L1v8 <- cbind(data.perm.L1, PermSamplesL1$V8)
perm.Lxv8 <- cbind(data.perm.Lx, PermSamplesLx$V8)

perm.L1v9 <- cbind(data.perm.L1, PermSamplesL1$V9)
perm.Lxv9 <- cbind(data.perm.Lx, PermSamplesLx$V9)

perm.L1v10 <- cbind(data.perm.L1, PermSamplesL1$V10)
perm.Lxv10 <- cbind(data.perm.Lx, PermSamplesLx$V10)

perm.L1v11 <- cbind(data.perm.L1, PermSamplesL1$V11)
perm.Lxv11 <- cbind(data.perm.Lx, PermSamplesLx$V11)

perm.L1v12 <- cbind(data.perm.L1, PermSamplesL1$V12)
perm.Lxv12 <- cbind(data.perm.Lx, PermSamplesLx$V12)

perm.L1v13 <- cbind(data.perm.L1, PermSamplesL1$V13)
perm.Lxv13 <- cbind(data.perm.Lx, PermSamplesLx$V13)

perm.L1v14 <- cbind(data.perm.L1, PermSamplesL1$V14)
perm.Lxv14 <- cbind(data.perm.Lx, PermSamplesLx$V14)

perm.L1v15 <- cbind(data.perm.L1, PermSamplesL1$V15)
perm.Lxv15 <- cbind(data.perm.Lx, PermSamplesLx$V15)

perm.L1v16 <- cbind(data.perm.L1, PermSamplesL1$V16)
perm.Lxv16 <- cbind(data.perm.Lx, PermSamplesLx$V16)

perm.L1v17 <- cbind(data.perm.L1, PermSamplesL1$V17)
perm.Lxv17 <- cbind(data.perm.Lx, PermSamplesLx$V17)

perm.L1v18 <- cbind(data.perm.L1, PermSamplesL1$V18)
perm.Lxv18 <- cbind(data.perm.Lx, PermSamplesLx$V18)

perm.L1v19 <- cbind(data.perm.L1, PermSamplesL1$V19)
perm.Lxv19 <- cbind(data.perm.Lx, PermSamplesLx$V19)

perm.L1v20 <- cbind(data.perm.L1, PermSamplesL1$V20)
perm.Lxv20 <- cbind(data.perm.Lx, PermSamplesLx$V20)

perm.L1v21 <- cbind(data.perm.L1, PermSamplesL1$V21)
perm.Lxv21 <- cbind(data.perm.Lx, PermSamplesLx$V21)

perm.L1v22 <- cbind(data.perm.L1, PermSamplesL1$V22)
perm.Lxv22 <- cbind(data.perm.Lx, PermSamplesLx$V22)

perm.L1v23 <- cbind(data.perm.L1, PermSamplesL1$V23)
perm.Lxv23 <- cbind(data.perm.Lx, PermSamplesLx$V23)

perm.L1v24 <- cbind(data.perm.L1, PermSamplesL1$V24)
perm.Lxv24 <- cbind(data.perm.Lx, PermSamplesLx$V24)

perm.L1v25 <- cbind(data.perm.L1, PermSamplesL1$V25)
perm.Lxv25 <- cbind(data.perm.Lx, PermSamplesLx$V25)

perm.L1v26 <- cbind(data.perm.L1, PermSamplesL1$V26)
perm.Lxv26 <- cbind(data.perm.Lx, PermSamplesLx$V26)

perm.L1v27 <- cbind(data.perm.L1, PermSamplesL1$V27)
perm.Lxv27 <- cbind(data.perm.Lx, PermSamplesLx$V27)

perm.L1v28 <- cbind(data.perm.L1, PermSamplesL1$V28)
perm.Lxv28 <- cbind(data.perm.Lx, PermSamplesLx$V28)

perm.L1v29 <- cbind(data.perm.L1, PermSamplesL1$V29)
perm.Lxv29 <- cbind(data.perm.Lx, PermSamplesLx$V29)

perm.L1v30 <- cbind(data.perm.L1, PermSamplesL1$V30)
perm.Lxv30 <- cbind(data.perm.Lx, PermSamplesLx$V30)

perm.L1v31 <- cbind(data.perm.L1, PermSamplesL1$V31)
perm.Lxv31 <- cbind(data.perm.Lx, PermSamplesLx$V31)

perm.L1v32 <- cbind(data.perm.L1, PermSamplesL1$V32)
perm.Lxv32 <- cbind(data.perm.Lx, PermSamplesLx$V32)

perm.L1v33 <- cbind(data.perm.L1, PermSamplesL1$V33)
perm.Lxv33 <- cbind(data.perm.Lx, PermSamplesLx$V33)

perm.L1v34 <- cbind(data.perm.L1, PermSamplesL1$V34)
perm.Lxv34 <- cbind(data.perm.Lx, PermSamplesLx$V34)

perm.L1v35 <- cbind(data.perm.L1, PermSamplesL1$V35)
perm.Lxv35 <- cbind(data.perm.Lx, PermSamplesLx$V15)

perm.L1v36 <- cbind(data.perm.L1, PermSamplesL1$V36)
perm.Lxv36 <- cbind(data.perm.Lx, PermSamplesLx$V16)

perm.L1v37 <- cbind(data.perm.L1, PermSamplesL1$V37)
perm.Lxv37 <- cbind(data.perm.Lx, PermSamplesLx$V37)

perm.L1v38 <- cbind(data.perm.L1, PermSamplesL1$V38)
perm.Lxv38 <- cbind(data.perm.Lx, PermSamplesLx$V38)

perm.L1v39 <- cbind(data.perm.L1, PermSamplesL1$V39)
perm.Lxv39 <- cbind(data.perm.Lx, PermSamplesLx$V39)

perm.L1v40 <- cbind(data.perm.L1, PermSamplesL1$V40)
perm.Lxv40 <- cbind(data.perm.Lx, PermSamplesLx$V40)

perm.L1v41 <- cbind(data.perm.L1, PermSamplesL1$V41)
perm.Lxv41 <- cbind(data.perm.Lx, PermSamplesLx$V41)

perm.L1v42 <- cbind(data.perm.L1, PermSamplesL1$V42)
perm.Lxv42 <- cbind(data.perm.Lx, PermSamplesLx$V42)

perm.L1v43 <- cbind(data.perm.L1, PermSamplesL1$V43)
perm.Lxv43 <- cbind(data.perm.Lx, PermSamplesLx$V43)

perm.L1v44 <- cbind(data.perm.L1, PermSamplesL1$V44)
perm.Lxv44 <- cbind(data.perm.Lx, PermSamplesLx$V44)

perm.L1v45 <- cbind(data.perm.L1, PermSamplesL1$V45)
perm.Lxv45 <- cbind(data.perm.Lx, PermSamplesLx$V45)

perm.L1v46 <- cbind(data.perm.L1, PermSamplesL1$V46)
perm.Lxv46 <- cbind(data.perm.Lx, PermSamplesLx$V46)

perm.L1v47 <- cbind(data.perm.L1, PermSamplesL1$V47)
perm.Lxv47 <- cbind(data.perm.Lx, PermSamplesLx$V47)

perm.L1v48 <- cbind(data.perm.L1, PermSamplesL1$V48)
perm.Lxv48 <- cbind(data.perm.Lx, PermSamplesLx$V48)

perm.L1v49 <- cbind(data.perm.L1, PermSamplesL1$V49)
perm.Lxv49 <- cbind(data.perm.Lx, PermSamplesLx$V49)

perm.L1v50 <- cbind(data.perm.L1, PermSamplesL1$V50)
perm.Lxv50 <- cbind(data.perm.Lx, PermSamplesLx$V50)

perm.L1v51 <- cbind(data.perm.L1, PermSamplesL1$V51)
perm.Lxv51 <- cbind(data.perm.Lx, PermSamplesLx$V51)

perm.L1v52 <- cbind(data.perm.L1, PermSamplesL1$V52)
perm.Lxv52 <- cbind(data.perm.Lx, PermSamplesLx$V52)

perm.L1v53 <- cbind(data.perm.L1, PermSamplesL1$V53)
perm.Lxv53 <- cbind(data.perm.Lx, PermSamplesLx$V53)

perm.L1v54 <- cbind(data.perm.L1, PermSamplesL1$V54)
perm.Lxv54 <- cbind(data.perm.Lx, PermSamplesLx$V54)

perm.L1v55 <- cbind(data.perm.L1, PermSamplesL1$V55)
perm.Lxv55 <- cbind(data.perm.Lx, PermSamplesLx$V55)

perm.L1v56 <- cbind(data.perm.L1, PermSamplesL1$V56)
perm.Lxv56 <- cbind(data.perm.Lx, PermSamplesLx$V56)

perm.L1v57 <- cbind(data.perm.L1, PermSamplesL1$V57)
perm.Lxv57 <- cbind(data.perm.Lx, PermSamplesLx$V57)

perm.L1v58 <- cbind(data.perm.L1, PermSamplesL1$V58)
perm.Lxv58 <- cbind(data.perm.Lx, PermSamplesLx$V58)

perm.L1v59 <- cbind(data.perm.L1, PermSamplesL1$V59)
perm.Lxv59 <- cbind(data.perm.Lx, PermSamplesLx$V59)

perm.L1v60 <- cbind(data.perm.L1, PermSamplesL1$V60)
perm.Lxv60 <- cbind(data.perm.Lx, PermSamplesLx$V60)

perm.L1v61 <- cbind(data.perm.L1, PermSamplesL1$V61)
perm.Lxv61 <- cbind(data.perm.Lx, PermSamplesLx$V61)

perm.L1v62 <- cbind(data.perm.L1, PermSamplesL1$V62)
perm.Lxv62 <- cbind(data.perm.Lx, PermSamplesLx$V62)

perm.L1v63 <- cbind(data.perm.L1, PermSamplesL1$V63)
perm.Lxv63 <- cbind(data.perm.Lx, PermSamplesLx$V63)

perm.L1v64 <- cbind(data.perm.L1, PermSamplesL1$V64)
perm.Lxv64 <- cbind(data.perm.Lx, PermSamplesLx$V64)

perm.L1v65 <- cbind(data.perm.L1, PermSamplesL1$V65)
perm.Lxv65 <- cbind(data.perm.Lx, PermSamplesLx$V65)

perm.L1v66 <- cbind(data.perm.L1, PermSamplesL1$V66)
perm.Lxv66 <- cbind(data.perm.Lx, PermSamplesLx$V66)

perm.L1v67 <- cbind(data.perm.L1, PermSamplesL1$V67)
perm.Lxv67 <- cbind(data.perm.Lx, PermSamplesLx$V67)

perm.L1v68 <- cbind(data.perm.L1, PermSamplesL1$V68)
perm.Lxv68 <- cbind(data.perm.Lx, PermSamplesLx$V68)

perm.L1v69 <- cbind(data.perm.L1, PermSamplesL1$V69)
perm.Lxv69 <- cbind(data.perm.Lx, PermSamplesLx$V69)

perm.L1v70 <- cbind(data.perm.L1, PermSamplesL1$V70)
perm.Lxv70 <- cbind(data.perm.Lx, PermSamplesLx$V70)

perm.L1v71 <- cbind(data.perm.L1, PermSamplesL1$V71)
perm.Lxv71 <- cbind(data.perm.Lx, PermSamplesLx$V71)

perm.L1v72 <- cbind(data.perm.L1, PermSamplesL1$V72)
perm.Lxv72 <- cbind(data.perm.Lx, PermSamplesLx$V72)

perm.L1v73 <- cbind(data.perm.L1, PermSamplesL1$V73)
perm.Lxv73 <- cbind(data.perm.Lx, PermSamplesLx$V73)

perm.L1v74 <- cbind(data.perm.L1, PermSamplesL1$V74)
perm.Lxv74 <- cbind(data.perm.Lx, PermSamplesLx$V74)

perm.L1v75 <- cbind(data.perm.L1, PermSamplesL1$V75)
perm.Lxv75 <- cbind(data.perm.Lx, PermSamplesLx$V75)

perm.L1v76 <- cbind(data.perm.L1, PermSamplesL1$V76)
perm.Lxv76 <- cbind(data.perm.Lx, PermSamplesLx$V76)

perm.L1v77 <- cbind(data.perm.L1, PermSamplesL1$V77)
perm.Lxv77 <- cbind(data.perm.Lx, PermSamplesLx$V77)

perm.L1v78 <- cbind(data.perm.L1, PermSamplesL1$V78)
perm.Lxv78 <- cbind(data.perm.Lx, PermSamplesLx$V78)

perm.L1v79 <- cbind(data.perm.L1, PermSamplesL1$V79)
perm.Lxv79 <- cbind(data.perm.Lx, PermSamplesLx$V79)

perm.L1v80 <- cbind(data.perm.L1, PermSamplesL1$V80)
perm.Lxv80 <- cbind(data.perm.Lx, PermSamplesLx$V80)

perm.L1v81 <- cbind(data.perm.L1, PermSamplesL1$V81)
perm.Lxv81 <- cbind(data.perm.Lx, PermSamplesLx$V81)

perm.L1v82 <- cbind(data.perm.L1, PermSamplesL1$V82)
perm.Lxv82 <- cbind(data.perm.Lx, PermSamplesLx$V82)

perm.L1v83 <- cbind(data.perm.L1, PermSamplesL1$V83)
perm.Lxv83 <- cbind(data.perm.Lx, PermSamplesLx$V83)

perm.L1v84 <- cbind(data.perm.L1, PermSamplesL1$V84)
perm.Lxv84 <- cbind(data.perm.Lx, PermSamplesLx$V84)

perm.L1v85 <- cbind(data.perm.L1, PermSamplesL1$V85)
perm.Lxv85 <- cbind(data.perm.Lx, PermSamplesLx$V85)

perm.L1v86 <- cbind(data.perm.L1, PermSamplesL1$V86)
perm.Lxv86 <- cbind(data.perm.Lx, PermSamplesLx$V86)

perm.L1v87 <- cbind(data.perm.L1, PermSamplesL1$V87)
perm.Lxv87 <- cbind(data.perm.Lx, PermSamplesLx$V87)

perm.L1v88 <- cbind(data.perm.L1, PermSamplesL1$V88)
perm.Lxv88 <- cbind(data.perm.Lx, PermSamplesLx$V88)

perm.L1v89 <- cbind(data.perm.L1, PermSamplesL1$V89)
perm.Lxv89 <- cbind(data.perm.Lx, PermSamplesLx$V89)

perm.L1v90 <- cbind(data.perm.L1, PermSamplesL1$V90)
perm.Lxv90 <- cbind(data.perm.Lx, PermSamplesLx$V90)

perm.L1v91 <- cbind(data.perm.L1, PermSamplesL1$V91)
perm.Lxv91 <- cbind(data.perm.Lx, PermSamplesLx$V91)

perm.L1v92 <- cbind(data.perm.L1, PermSamplesL1$V92)
perm.Lxv92 <- cbind(data.perm.Lx, PermSamplesLx$V92)

perm.L1v93 <- cbind(data.perm.L1, PermSamplesL1$V93)
perm.Lxv93 <- cbind(data.perm.Lx, PermSamplesLx$V93)

perm.L1v94 <- cbind(data.perm.L1, PermSamplesL1$V94)
perm.Lxv94 <- cbind(data.perm.Lx, PermSamplesLx$V94)

perm.L1v95 <- cbind(data.perm.L1, PermSamplesL1$V95)
perm.Lxv95 <- cbind(data.perm.Lx, PermSamplesLx$V95)

perm.L1v96 <- cbind(data.perm.L1, PermSamplesL1$V96)
perm.Lxv96 <- cbind(data.perm.Lx, PermSamplesLx$V96)

perm.L1v97 <- cbind(data.perm.L1, PermSamplesL1$V97)
perm.Lxv97 <- cbind(data.perm.Lx, PermSamplesLx$V97)

perm.L1v98 <- cbind(data.perm.L1, PermSamplesL1$V98)
perm.Lxv98 <- cbind(data.perm.Lx, PermSamplesLx$V98)

perm.L1v99 <- cbind(data.perm.L1, PermSamplesL1$V99)
perm.Lxv99 <- cbind(data.perm.Lx, PermSamplesLx$V99)

perm.L1v100 <- cbind(data.perm.L1, PermSamplesL1$V100)
perm.Lxv100 <- cbind(data.perm.Lx, PermSamplesLx$V100)

allframes <- list(perm.L1v1, perm.Lxv1, 
                  perm.L1v2, perm.Lxv2, 
                  perm.L1v3, perm.Lxv3, 
                  perm.L1v4, perm.Lxv4, 
                  perm.L1v5, perm.Lxv5,
                  perm.L1v6, perm.Lxv6, 
                  perm.L1v7, perm.Lxv7,
                  perm.L1v8, perm.Lxv8,
                  perm.L1v9, perm.Lxv9,
                  perm.L1v10, perm.Lxv10,
                  perm.L1v11, perm.Lxv11,
                  perm.L1v12, perm.Lxv12,
                  perm.L1v13, perm.Lxv13,
                  perm.L1v14, perm.Lxv14,
                  perm.L1v15, perm.Lxv15,
                  perm.L1v16, perm.Lxv16,
                  perm.L1v17, perm.Lxv17,
                  perm.L1v18, perm.Lxv18,
                  perm.L1v19, perm.Lxv19,
                  perm.L1v20, perm.Lxv20,
                  perm.L1v21, perm.Lxv21, 
                  perm.L1v22, perm.Lxv22, 
                  perm.L1v23, perm.Lxv23, 
                  perm.L1v24, perm.Lxv24, 
                  perm.L1v25, perm.Lxv25,
                  perm.L1v26, perm.Lxv26, 
                  perm.L1v27, perm.Lxv27,
                  perm.L1v28, perm.Lxv28,
                  perm.L1v29, perm.Lxv29,
                  perm.L1v30, perm.Lxv30,
                  perm.L1v31, perm.Lxv31,
                  perm.L1v32, perm.Lxv32,
                  perm.L1v33, perm.Lxv33,
                  perm.L1v34, perm.Lxv34,
                  perm.L1v35, perm.Lxv35,
                  perm.L1v36, perm.Lxv36,
                  perm.L1v37, perm.Lxv37,
                  perm.L1v38, perm.Lxv38,
                  perm.L1v39, perm.Lxv39,
                  perm.L1v40, perm.Lxv40,
                  perm.L1v41, perm.Lxv41, 
                  perm.L1v42, perm.Lxv42, 
                  perm.L1v43, perm.Lxv43, 
                  perm.L1v44, perm.Lxv44, 
                  perm.L1v45, perm.Lxv45,
                  perm.L1v46, perm.Lxv46, 
                  perm.L1v47, perm.Lxv47,
                  perm.L1v48, perm.Lxv48,
                  perm.L1v49, perm.Lxv49,
                  perm.L1v50, perm.Lxv50,
                  perm.L1v51, perm.Lxv51,
                  perm.L1v52, perm.Lxv52,
                  perm.L1v53, perm.Lxv53,
                  perm.L1v54, perm.Lxv54,
                  perm.L1v55, perm.Lxv55,
                  perm.L1v56, perm.Lxv56,
                  perm.L1v57, perm.Lxv57,
                  perm.L1v58, perm.Lxv58,
                  perm.L1v59, perm.Lxv59,
                  perm.L1v60, perm.Lxv60,
                  perm.L1v61, perm.Lxv61, 
                  perm.L1v62, perm.Lxv62, 
                  perm.L1v63, perm.Lxv63, 
                  perm.L1v64, perm.Lxv64, 
                  perm.L1v65, perm.Lxv65,
                  perm.L1v66, perm.Lxv66, 
                  perm.L1v67, perm.Lxv67,
                  perm.L1v68, perm.Lxv68,
                  perm.L1v69, perm.Lxv69,
                  perm.L1v70, perm.Lxv70,
                  perm.L1v71, perm.Lxv71,
                  perm.L1v72, perm.Lxv72,
                  perm.L1v73, perm.Lxv73,
                  perm.L1v74, perm.Lxv74,
                  perm.L1v75, perm.Lxv75,
                  perm.L1v76, perm.Lxv76,
                  perm.L1v77, perm.Lxv77,
                  perm.L1v78, perm.Lxv78,
                  perm.L1v79, perm.Lxv79,
                  perm.L1v80, perm.Lxv80,
                  perm.L1v81, perm.Lxv81, 
                  perm.L1v82, perm.Lxv82, 
                  perm.L1v83, perm.Lxv83, 
                  perm.L1v84, perm.Lxv84, 
                  perm.L1v85, perm.Lxv85,
                  perm.L1v86, perm.Lxv86, 
                  perm.L1v87, perm.Lxv87,
                  perm.L1v88, perm.Lxv88,
                  perm.L1v89, perm.Lxv89,
                  perm.L1v90, perm.Lxv90,
                  perm.L1v91, perm.Lxv91,
                  perm.L1v92, perm.Lxv92,
                  perm.L1v93, perm.Lxv93,
                  perm.L1v94, perm.Lxv94,
                  perm.L1v95, perm.Lxv95,
                  perm.L1v96, perm.Lxv96,
                  perm.L1v97, perm.Lxv97,
                  perm.L1v98, perm.Lxv98,
                  perm.L1v99, perm.Lxv99,
                  perm.L1v100, perm.Lxv100)
# edit all frames
framies <- lapply(allframes, function(x) {
  x %>%
  mutate(Name = as.factor(Name)) %>%
  group_by(Name) %>%
  mutate(Ind = sum(V2)) %>%
  filter(V2 > 0)%>%
  mutate(max = max(Day)) %>%
  mutate(min = min(Day)) %>%
  mutate(Emergence_Ind = max - min) %>%
  distinct(Name, .keep_all= TRUE)
    
} )

onebigframe <- bind_rows(framies, .id = "column_label")
onebigframe <- as.data.table(onebigframe)
onebigframe %>% anova_test(Emergence_Ind ~ column_label * Ind)
## Coefficient covariances computed by hccm()
## ANOVA Table (type II tests)
## 
##             Effect DFn  DFd        F        p p<.05   ges
## 1     column_label 199 9788    4.516 2.47e-84     * 0.084
## 2              Ind   1 9788 2481.018 0.00e+00     * 0.202
## 3 column_label:Ind 199 9788    1.773 2.06e-10     * 0.035
onebigframe %>% anova_test(Emergence_Ind ~ column_label * Ind)
## Coefficient covariances computed by hccm()
## ANOVA Table (type II tests)
## 
##             Effect DFn  DFd        F        p p<.05   ges
## 1     column_label 199 9788    4.516 2.47e-84     * 0.084
## 2              Ind   1 9788 2481.018 0.00e+00     * 0.202
## 3 column_label:Ind 199 9788    1.773 2.06e-10     * 0.035
# linear models per data frame
fits <- lapply(framies, function(x) {
  lm(formula = Emergence_Ind ~ Ind, data = x )
} )


# extract information from all models
r.squared <- sapply(fits, function(x) summary(x)$r.squared )
p.value <- sapply(fits, function(x) summary(x)$coefficients[2,4] )
slope <- sapply(fits, function(x) summary(x)$coefficients[2,1] )


# compare with original 
lm <- lm(Emergence_all ~ Ind, data[Day==17 & Ind > 0])
summary(lm)
## 
## Call:
## lm(formula = Emergence_all ~ Ind, data = data[Day == 17 & Ind > 
##     0])
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -3.1224 -1.0759 -0.1224  0.8776  5.9188 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  0.85413    0.59549   1.434    0.155    
## Ind          0.39176    0.03461  11.320   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.81 on 97 degrees of freedom
## Multiple R-squared:  0.5692, Adjusted R-squared:  0.5647 
## F-statistic: 128.1 on 1 and 97 DF,  p-value: < 2.2e-16
# make up original data
datalm <- data[Day == 17] %>%
  select(Name, Rpl, Bti_application, Ind, Day, Larval_stage, Emergence_all) %>%
  rename(Emergence_Ind = Emergence_all)
datalm$group <- "A"
# make up permuted data
onebigframelm <- onebigframe %>%
  select(Name, Rpl, Bti_application, Ind, Day, Larval_stage, Emergence_Ind)
onebigframelm$group <- "B"
# merge original and permuted data
allframeslm <- rbind(datalm, onebigframelm)

4.4 Compare permuted/original data

# original
modelA <- lm(Emergence_Ind ~ Ind, allframeslm[group == 'A' & Ind > 0])
summary(modelA)
## 
## Call:
## lm(formula = Emergence_Ind ~ Ind, data = allframeslm[group == 
##     "A" & Ind > 0])
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -3.1224 -1.0759 -0.1224  0.8776  5.9188 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  0.85413    0.59549   1.434    0.155    
## Ind          0.39176    0.03461  11.320   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.81 on 97 degrees of freedom
## Multiple R-squared:  0.5692, Adjusted R-squared:  0.5647 
## F-statistic: 128.1 on 1 and 97 DF,  p-value: < 2.2e-16
# permuted
modelB <- lm(Emergence_Ind ~ Ind, allframeslm[group == 'B' & Ind > 0])
summary(modelB)
## 
## Call:
## lm(formula = Emergence_Ind ~ Ind, data = allframeslm[group == 
##     "B" & Ind > 0])
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -9.4189 -1.3618  0.4268  1.8497  6.0781 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 7.499083   0.067862  110.50   <2e-16 ***
## Ind         0.211421   0.003951   53.51   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.581 on 10186 degrees of freedom
## Multiple R-squared:  0.2194, Adjusted R-squared:  0.2194 
## F-statistic:  2864 on 1 and 10186 DF,  p-value: < 2.2e-16
# are the slopes significantly different?
anova <- aov(Emergence_Ind ~ group * Ind, allframeslm[Ind > 0])
summary(anova) # significant
##                Df Sum Sq Mean Sq F value   Pr(>F)    
## group           1   1264    1264  190.63  < 2e-16 ***
## Ind             1  19408   19408 2927.49  < 2e-16 ***
## group:Ind       1     88      88   13.33 0.000262 ***
## Residuals   10283  68173       7                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
library(sjstats)
## Registered S3 methods overwritten by 'lme4':
##   method                          from
##   cooks.distance.influence.merMod car 
##   influence.merMod                car 
##   dfbeta.influence.merMod         car 
##   dfbetas.influence.merMod        car
## 
## Attaching package: 'sjstats'
## The following object is masked from 'package:broom':
## 
##     bootstrap
effectsize::eta_squared(anova, partial = FALSE) # always report effect sizes
## Parameter |     Eta2 |       90% CI
## -----------------------------------
## group     |     0.01 | [0.01, 0.02]
## Ind       |     0.22 | [0.21, 0.23]
## group:Ind | 9.94e-04 | [0.00, 0.00]
ggscatter(
  allframeslm[Ind > 0], x = "Ind", y = "Emergence_Ind",
  color = "group", add = "reg.line", size = "group")+
  stat_regline_equation(
    aes(label =  paste(..eq.label.., ..rr.label.., sep = "~~~~"), color = group), 
    label.x = c(25,25), label.y = c(3.5,5), size = 3.5) +
  scale_size_manual(values=c(3,1), guide = "none")+
  scale_color_manual(values = c("red3", "royalblue2"), labels = c("A" = "Original data", 
                                                                  "B" = "Permuted data"))+
  ylab("Emergence durationt [days]") +
  xlab("Number of emerged individuals") +
  theme(legend.position = "bottom", 
        legend.title = element_blank(), legend.text = element_text(size = 13), 
        legend.key = element_blank(), 
        plot.title = element_text(size = 13, face = "bold"),  
        panel.background = element_rect(fill = "white", colour = "black", size = 0.5, linetype = "solid"),
        panel.border = element_rect(colour = "black", fill = NA),
        strip.text.x = element_text(size = 11, face = "bold"), strip.background = element_blank(),
        axis.title = element_text(size = 15), 
        axis.title.x = element_text(margin = margin(10, 10, -10, 10)), 
        axis.title.y = element_text(margin = margin(10, 10, -10, 10)),
        axis.text = element_text(size = 13),
        plot.margin = margin(1, 1, 1, 1)
          ) 
## `geom_smooth()` using formula 'y ~ x'